Satoshi Nawata
Satoshi Nawata
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Відео

Jin Chen -- On Topological Defect Lines in Para-fermionic CFTs
Переглядів 493 місяці тому
Jin Chen On Topological Defect Lines in Para-fermionic CFTs
Yunfeng Jiang -- Some integrability perspectives on TTbar deformation
Переглядів 433 місяці тому
Yunfeng Jiang Some integrability perspectives on TTbar deformation
Zhenghao Zhong -- Higgs branch RG flow via Decay and Fission
Переглядів 473 місяці тому
Zhenghao Zhong Higgs branch RG flow via Decay and Fission
Xinyu Zhang -- Quantum Symmetries in Four-dimensional Gauge Theories
Переглядів 523 місяці тому
Xinyu Zhang Quantum Symmetries in Four-dimensional Gauge Theories
Wenbin Yan -- Superconformal indices of N=4 Chern-Simons matter theories
Переглядів 863 місяці тому
Wenbin Yan Superconformal indices of N=4 Chern-Simons matter theories
Jiakang Bao -- On the 2-3-4 of Crystal Melting
Переглядів 393 місяці тому
Jiakang Bao On the 2-3-4 of Crystal Melting
Jie Gu -- Resurgent structures of free energies and Wilson loops in topological string
Переглядів 273 місяці тому
Jie Gu Resurgent structures of free energies and Wilson loops in topological string
Yehao Zhou -- Vertex algebras and Nakajima quiver varieties
Переглядів 2813 місяці тому
Yehao Zhou Vertex algebras and Nakajima quiver varieties
Jiahua Tian -- 3d N=2 from M-theory on CY4 and IIB brane box-Part II
Переглядів 263 місяці тому
Jiahua Tian 3d N=2 from M-theory on CY4 and IIB brane box-Part II
Yinan Wang -- 3d N=2 from M-theory on CY4 and IIB brane box-Part I
Переглядів 183 місяці тому
Yinan Wang 3d N=2 from M-theory on CY4 and IIB brane box-Part I
Mauricio Romo -- A-branes, exponential networks and quiver representations
Переглядів 1153 місяці тому
Mauricio Romo A-branes, exponential networks and quiver representations
Xin Wang -- Bootstrapping Integrable Systems from 5D Gauge Theories
Переглядів 233 місяці тому
Xin Wang Bootstrapping Integrable Systems from 5D Gauge Theories
Du Pei -- On new invariants and phases of supersymmetric quantum field theories
Переглядів 603 місяці тому
Du Pei On new invariants and phases of supersymmetric quantum field theories
Futoshi Yagi -- Seiberg-Witten curves from 5-brane webs with orientifold planes
Переглядів 373 місяці тому
Futoshi Yagi Seiberg-Witten curves from 5-brane webs with orientifold planes
Sung-Soo Kim -- 5d non-Lagrangian theories, index functions, and O7-planes
Переглядів 273 місяці тому
Sung-Soo Kim 5d non-Lagrangian theories, index functions, and O7-planes
Kaiwen Sun -- 2d CFTs, Borcherds products and hyperbolization of affine Lie algebras
Переглядів 383 місяці тому
Kaiwen Sun 2d CFTs, Borcherds products and hyperbolization of affine Lie algebras
Yang Lei -- Modular factorization of superconformal index
Переглядів 343 місяці тому
Yang Lei Modular factorization of superconformal index
Yiwen Pan -- Schur index and modularity
Переглядів 403 місяці тому
Yiwen Pan Schur index and modularity
Dan Xie -- On duality of 4d N=1 gauge theory
Переглядів 493 місяці тому
Dan Xie On duality of 4d N=1 gauge theory
Junya Yagi -- Cluster algebras and 3D integrable systems
Переглядів 1453 місяці тому
Junya Yagi Cluster algebras and 3D integrable systems
QFT1: Lecture 14-1
Переглядів 102Рік тому
QFT1: Lecture 14-1
QFT1: Lecture 14-2
Переглядів 67Рік тому
QFT1: Lecture 14-2
QFT1 - Lecture 13
Переглядів 184Рік тому
QFT1 - Lecture 13
QFT1 - Lecture 12
Переглядів 48Рік тому
QFT1 - Lecture 12
A gentle introduction to the 3d/3d correspondence
Переглядів 168Рік тому
A gentle introduction to the 3d/3d correspondence
QFT1 - Lecture 11
Переглядів 56Рік тому
QFT1 - Lecture 11
QFT1 - Lecture 10
Переглядів 103Рік тому
QFT1 - Lecture 10
QFT1 - Lecture 9
Переглядів 55Рік тому
QFT1 - Lecture 9
QFT1 - Lecture 8
Переглядів 48Рік тому
QFT1 - Lecture 8

КОМЕНТАРІ

  • @knight3481
    @knight3481 Місяць тому

    This marks the Seiberg Witten solutions to Donaldson invariants

  • @jaydenwilson9522
    @jaydenwilson9522 Місяць тому

    Anybody who thinks that Mickelson and Morley proved that Light Velocity is invariable should not be taken seriously.... and if they dedicated their career to String Theory then they should not even be mentioned.

  • @DANNY40379
    @DANNY40379 2 місяці тому

    3! = 6 there, I just proved my genius, no need for any silly projectors

  • @williammorris4419
    @williammorris4419 2 місяці тому

    This guy must have had a very unique childhood.

  • @jimturner4937
    @jimturner4937 2 місяці тому

    String theory is a mathematical conjecture not a physics theory.

    • @zibam982
      @zibam982 2 місяці тому

      He's more of a mathematician than a physicist.

  • @socksumi
    @socksumi 2 місяці тому

    Pure genus at work.

  • @hoon_sol
    @hoon_sol 2 місяці тому

    What an absolute genius.

  • @paulwary
    @paulwary 2 місяці тому

    Always wondered who that guy was using all-caps on the internets. Well, now we know.

  • @mznxbcv12345
    @mznxbcv12345 2 місяці тому

    Is it possible to have the handouts uploaded please ?

  • @Helmutandmoshe
    @Helmutandmoshe 4 місяці тому

    Too bad the sound is so low. Hard to hear.

  • @SpotterVideo
    @SpotterVideo 6 місяців тому

    Both Matter and Energy described as "Quanta" of Spatial Curvature. (A string is revealed to be a twisted cord when viewed up close.) Is there an alternative interpretation of "Asymptotic Freedom"? What if Quarks are actually made up of twisted tubes which become physically entangled with two other twisted tubes to produce a proton? Instead of the Strong Force being mediated by the constant exchange of gluons, it would be mediated by the physical entanglement of these twisted tubes. When only two twisted tubules are entangled, a meson is produced which is unstable and rapidly unwinds (decays) into something else. A proton would be analogous to three twisted rubber bands becoming entangled and the "Quarks" would be the places where the tubes are tangled together. The behavior would be the same as rubber balls (representing the Quarks) connected with twisted rubber bands being separated from each other or placed closer together producing the exact same phenomenon as "Asymptotic Freedom" in protons and neutrons. The force would become greater as the balls are separated, but the force would become less if the balls were placed closer together. Therefore, the gluon is a synthetic particle (zero mass, zero charge) invented to explain the Strong Force. An artificial Christmas tree can hold the ornaments in place, but it is not a real tree. String Theory was not a waste of time, because Geometry is the key to Math and Physics. However, can we describe Standard Model interactions using only one extra spatial dimension? What did some of the old clockmakers use to store the energy to power the clock? Was it a string or was it a spring? What if we describe subatomic particles as spatial curvature, instead of trying to describe General Relativity as being mediated by particles? Fixing the Standard Model with more particles is like trying to mend a torn fishing net with small rubber balls, instead of a piece of twisted twine. Quantum Entangled Twisted Tubules: “We are all agreed that your theory is crazy. The question which divides us is whether it is crazy enough to have a chance of being correct.” Neils Bohr (lecture on a theory of elementary particles given by Wolfgang Pauli in New York, c. 1957-8, in Scientific American vol. 199, no. 3, 1958) The following is meant to be a generalized framework for an extension of Kaluza-Klein Theory. Does it agree with some aspects of the “Twistor Theory” of Roger Penrose, and the work of Eric Weinstein on “Geometric Unity”, and the work of Dr. Lisa Randall on the possibility of one extra spatial dimension? During the early history of mankind, the twisting of fibers was used to produce thread, and this thread was used to produce fabrics. The twist of the thread is locked up within these fabrics. Is matter made up of twisted 3D-4D structures which store spatial curvature that we describe as “particles"? Are the twist cycles the "quanta" of Quantum Mechanics? When we draw a sine wave on a blackboard, we are representing spatial curvature. Does a photon transfer spatial curvature from one location to another? Wrap a piece of wire around a pencil and it can produce a 3D coil of wire, much like a spring. When viewed from the side it can look like a two-dimensional sine wave. You could coil the wire with either a right-hand twist, or with a left-hand twist. Could Planck's Constant be proportional to the twist cycles. A photon with a higher frequency has more energy. ( E=hf, More spatial curvature as the frequency increases = more Energy ). What if Quark/Gluons are actually made up of these twisted tubes which become entangled with other tubes to produce quarks where the tubes are entangled? (In the same way twisted electrical extension cords can become entangled.) Therefore, the gluons are a part of the quarks. Quarks cannot exist without gluons, and vice-versa. Mesons are made up of two entangled tubes (Quarks/Gluons), while protons and neutrons would be made up of three entangled tubes. (Quarks/Gluons) The "Color Charge" would be related to the XYZ coordinates (orientation) of entanglement. "Asymptotic Freedom", and "flux tubes" are logically based on this concept. The Dirac “belt trick” also reveals the concept of twist in the ½ spin of subatomic particles. If each twist cycle is proportional to h, we have identified the source of Quantum Mechanics as a consequence twist cycle geometry. Modern physicists say the Strong Force is mediated by a constant exchange of Gluons. The diagrams produced by some modern physicists actually represent the Strong Force like a spring connecting the two quarks. Asymptotic Freedom acts like real springs. Their drawing is actually more correct than their theory and matches perfectly to what I am saying in this model. You cannot separate the Gluons from the Quarks because they are a part of the same thing. The Quarks are the places where the Gluons are entangled with each other. Neutrinos would be made up of a twisted torus (like a twisted donut) within this model. The twist in the torus can either be Right-Hand or Left-Hand. Some twisted donuts can be larger than others, which can produce three different types of neutrinos. If a twisted tube winds up on one end and unwinds on the other end as it moves through space, this would help explain the “spin” of normal particles, and perhaps also the “Higgs Field”. However, if the end of the twisted tube joins to the other end of the twisted tube forming a twisted torus (neutrino), would this help explain “Parity Symmetry” violation in Beta Decay? Could the conversion of twist cycles to writhe cycles through the process of supercoiling help explain “neutrino oscillations”? Spatial curvature (mass) would be conserved, but the structure could change. ===================== Gravity is a result of a very small curvature imbalance within atoms. (This is why the force of gravity is so small.) Instead of attempting to explain matter as "particles", this concept attempts to explain matter more in the manner of our current understanding of the space-time curvature of gravity. If an electron has qualities of both a particle and a wave, it cannot be either one. It must be something else. Therefore, a "particle" is actually a structure which stores spatial curvature. Can an electron-positron pair (which are made up of opposite directions of twist) annihilate each other by unwinding into each other producing Gamma Ray photons? Does an electron travel through space like a threaded nut traveling down a threaded rod, with each twist cycle proportional to Planck’s Constant? Does it wind up on one end, while unwinding on the other end? Is this related to the Higgs field? Does this help explain the strange ½ spin of many subatomic particles? Does the 720 degree rotation of a 1/2 spin particle require at least one extra dimension? Alpha decay occurs when the two protons and two neutrons (which are bound together by entangled tubes), become un-entangled from the rest of the nucleons . Beta decay occurs when the tube of a down quark/gluon in a neutron becomes overtwisted and breaks producing a twisted torus (neutrino) and an up quark, and the ejected electron. The production of the torus may help explain the “Symmetry Violation” in Beta Decay, because one end of the broken tube section is connected to the other end of the tube produced, like a snake eating its tail. The phenomenon of Supercoiling involving twist and writhe cycles may reveal how overtwisted quarks can produce these new particles. The conversion of twists into writhes, and vice-versa, is an interesting process, which is also found in DNA molecules. Could the production of multiple writhe cycles help explain the three generations of quarks and neutrinos? If the twist cycles increase, the writhe cycles would also have a tendency to increase. Gamma photons are produced when a tube unwinds producing electromagnetic waves. ( Mass=1/Length ) The “Electric Charge” of electrons or positrons would be the result of one twist cycle being displayed at the 3D-4D surface interface of the particle. The physical entanglement of twisted tubes in quarks within protons and neutrons and mesons displays an overall external surface charge of an integer number. Because the neutrinos do not have open tube ends, (They are a twisted torus.) they have no overall electric charge. Within this model a black hole could represent a quantum of gravity, because it is one cycle of spatial gravitational curvature. Therefore, instead of a graviton being a subatomic particle it could be considered to be a black hole. The overall gravitational attraction would be caused by a very tiny curvature imbalance within atoms. In this model Alpha equals the compactification ratio within the twistor cone, which is approximately 1/137. 1= Hypertubule diameter at 4D interface 137= Cone’s larger end diameter at 3D interface where the photons are absorbed or emitted. The 4D twisted Hypertubule gets longer or shorter as twisting or untwisting occurs. (720 degrees per twist cycle.) How many neutrinos are left over from the Big Bang? They have a small mass, but they could be very large in number. Could this help explain Dark Matter? Why did Paul Dirac use the twist in a belt to help explain particle spin? Is Dirac’s belt trick related to this model? Is the “Quantum” unit based on twist cycles? I started out imagining a subatomic Einstein-Rosen Bridge whose internal surface is twisted with either a Right-Hand twist, or a Left-Hand twist producing a twisted 3D/4D membrane. This topological Soliton model grew out of that simple idea. I was also trying to imagine a way to stuff the curvature of a 3 D sine wave into subatomic particles. .

  • @DanielLima-kp9lo
    @DanielLima-kp9lo 8 місяців тому

    Professor, could you give us access to your lecture notes, or make them available in some other way?

  • @ericdg6090
    @ericdg6090 Рік тому

    Anyone else here from Joe Rogan?

  • @nirmalghorai8209
    @nirmalghorai8209 Рік тому

    Great , thanks

  • @brendawilliams8062
    @brendawilliams8062 2 роки тому

    Thankyou

  • @debajyotidebnath9019
    @debajyotidebnath9019 2 роки тому

    Lecture 1and 2?

    • @SatoshiNawata
      @SatoshiNawata 2 роки тому

      It's not recorded, but we cover basics of conformal transformations and Ward-Takahashi identity. You can read section 2 and 3.1 of the lecture note. drive.google.com/file/d/12bWmWJMsxCGoOTXNBSSY7tyiIbmAMgot/view?usp=sharing

    • @debajyotidebnath9019
      @debajyotidebnath9019 2 роки тому

      @@SatoshiNawata thank you

  • @SatoshiNawata
    @SatoshiNawata 2 роки тому

    The negative sign is missing at the first term @2:07:35. For Hermitian conjugate, I need complex conjugation on the coordinate from @2:28:00. The correction will be given in the next lecture.

  • @ankurc
    @ankurc 2 роки тому

    Awesome

  • @davidwilkie9551
    @davidwilkie9551 2 роки тому

    Must mean something? In real Math-Physics theory perhaps.

  • @dukeyin1111
    @dukeyin1111 2 роки тому

    Looks changed over the years... but the voice and tone did not haha.

    • @brendawilliams8062
      @brendawilliams8062 2 роки тому

      I feel blessed to have the chance to hear these lectures. So 🍀 lucky, but how old are they? Do you know?

    • @Daniel-ih4zh
      @Daniel-ih4zh Рік тому

      @@brendawilliams8062 this one dates back to abou the late 80s i think

    • @brendawilliams8062
      @brendawilliams8062 Рік тому

      @@Daniel-ih4zh I wish I could have known that much in the 80’s. Amazing

  • @Simon-xi8tb
    @Simon-xi8tb 2 роки тому

    his powerpoint skills are amazing!

    • @CFLsurfr
      @CFLsurfr 28 днів тому

      That's MY AVATAR! I edited it out of the original painting by Fernando Botero years ago. It's not mine but I am largely responsible for it being an avatar. lmaoooo

  • @SatoshiNawata
    @SatoshiNawata 2 роки тому

    We missed 30 min in the middle due to my laptop problem, during which I talk about the geometry of AdS_{d+1}

  • @SatoshiNawata
    @SatoshiNawata 2 роки тому

    At the last part of the lecture from 2:31:00, my explanation does not make sense. (Sorry...) This part is explained at the beginning of the next lecture (ua-cam.com/video/mFvUAkRB14E/v-deo.html)

  • @SatoshiNawata
    @SatoshiNawata 2 роки тому

    Sorry, but I made lots of mistakes in this lecture. The corrections are listed as follows. To get supergravity approximation, we need to have g_s Q_i >>1 where g_s is not so big that we can ignore higher loop correction @1:31:00 The R-symmetry of N=(4,4) is SO(4) x SO(4) so what's written is wrong! @1:54:30 The factor of 4 comes from the T^4 direction (5678) where 1-5 open strings can move, so what I said is wrong @2:05:05 and @2:13:10 The Cardy formula can be applied for the regime Q_P >> Q_1 Q_5 @ 2:21:55

  • @SatoshiNawata
    @SatoshiNawata 3 роки тому

    @25:30 D7-branes are dynamical indeed, D9-branes are not.

  • @BRunoAWAY
    @BRunoAWAY 3 роки тому

    You know when some vídeo are important when It have few views from the monkeys of UA-cam

  • @SatoshiNawata
    @SatoshiNawata 3 роки тому

    From 44:00, the recording of the blackboard is frozen due to my computer problem, unfortunately.

  • @SatoshiNawata
    @SatoshiNawata 3 роки тому

    The NS vacuum |0;k>_NS is fermionic due to the bc ghost, precisely speaking at 2:12:00. At 2:20:00 \Gamma^\pm_0 = (\psi^1 \pm \psi^0)/\sqrt{2}.

  • @SatoshiNawata
    @SatoshiNawata 3 роки тому

    Precisely speaking, holomorphic cotangent bundle of the Teichmuller space at 47:44. Similarly, holomorphic tangent vector at 1:54:54. \delta j = e dj + de j + 2\kappa d^2 e at 1:10:40 (sign was wrong.).

  • @SatoshiNawata
    @SatoshiNawata 3 роки тому

    Sorry, the window is smaller than usual today due to my stupidness.

  • @SatoshiNawata
    @SatoshiNawata 3 роки тому

    Corrections: {Q_B,b_0} =L^X_0 + L^g_0 at 1:11:39. (without -2) L^g_0 = −1 + b_{−1}c_1 + c_{−1}b_1 + ... at 1:16:07

  • @SatoshiNawata
    @SatoshiNawata 3 роки тому

    I told you a huge lie at 2:05:30. This is totally wrong. If Im f_{i+1} = Ker f_i , it is called an exact sequence. They have to be equal. Don't trust this unreliable lecturer.

  • @SatoshiNawata
    @SatoshiNawata 3 роки тому

    I am very sorry, but I keep mentioning that symplectic geometry is initiated by Legendre in 1808... (for instance, 2:55 20:30 ) I meant Lagrange, not Legendre. Please do not be misguided by my wrong information... You could take a look at my lecture note drive.google.com/file/d/1JI1c3llcK8GEonJ40eYr2C3Jx58eHNMY/view for the correct reference.

  • @SatoshiNawata
    @SatoshiNawata 3 роки тому

    Lecture 1 was not recorded. There were requests from students to record this lecture series, and students voluntarily record this lecture series. For lecture 1, you can refer to sections 1 and 2 of the course notes. drive.google.com/file/d/1SKcqzWTequydafxDShAR0wFx2OGCu86_/view

  • @mayankvashishtha5714
    @mayankvashishtha5714 3 роки тому

    Sir , where is the lecture 1?

  • @leandra3269
    @leandra3269 3 роки тому

    Thank you so much Dr Satoshi. Where can I find the lecture notes please ?

    • @SatoshiNawata
      @SatoshiNawata 3 роки тому

      sites.google.com/site/snawata/teaching/spring-2021-2

    • @leandra3269
      @leandra3269 3 роки тому

      Thank you so much.

  • @protectionsecularism6090
    @protectionsecularism6090 3 роки тому

    Thank you

  • @protectionsecularism6090
    @protectionsecularism6090 3 роки тому

    Thank you

  • @protectionsecularism6090
    @protectionsecularism6090 3 роки тому

    Thank you

  • @SatoshiNawata
    @SatoshiNawata 3 роки тому

    At 1:30:50, the metric of the Poincare disk is not correct. The denominator should be squared (1-x^2-y^2)^2 instead of taking a square root. (Anyway, this is the answer to the student's private question.)

  • @panayiotisskolokotronis1630
    @panayiotisskolokotronis1630 3 роки тому

    The situation during 20th century theoretical physics, that we are all facing but not many realize or agree to accept, is that "theoretical physics cannot been done with only maths although maths have to be invoved ". That's why i describe 20th century as a lost century concerning theoretical physics...a huge lost of time, personally i put the blame to the 3 world wars and the bureaucratic organisation of research globally. Unfortunately the same silly think is still on going...i will never lose not even one sec of my life studying string theory... but every now and then i watch some lectures just to get ungry...a very helpful emotion that boosts my research :-)

    • @kashu7691
      @kashu7691 3 роки тому

      if it cannot be done with just maths, what’s the missing piece of theoretical physics?

    • @panayiotisskolokotronis1630
      @panayiotisskolokotronis1630 3 роки тому

      @kashu Whenever the origin is the experimental empirical data usually we (infer) end up with a silly phenomenology (like quantum mechanics). Otherwise we can start from an ad hoc mathematical structure make the calculations and (deduct) produce a nice fitting! (Standard model). As far as i know there is no other way. (A new way has to be invented). Maths are unavoidable..thats the language....but the question is, what is physics about ?...if its for a living...i would rather be a fisherman :-).

    • @Dagvalda
      @Dagvalda Рік тому

      you should still study string theory in order to understand why or how it is wrong, in the same way you should study eugenics for the same reason

    • @Amethyst_Friend
      @Amethyst_Friend 20 днів тому

      " 20th century as a lost century concerning theoretical physics" So, SR, GR, QM; no good to you?

  • @SatoshiNawata
    @SatoshiNawata 3 роки тому

    There was a problem in my laptop, but we missed only a few minutes. Mid-break during 35:10-55:00

  • @Achrononmaster
    @Achrononmaster 3 роки тому

    What was the "elegant" lecture/paper by "Manim" (sp?) Witten alluded to around @41:50 and the paper presented by "Singer"(sp?) ... FOUND IT: it was Manin, Yu, "Quantum strings and algebraic curves" p.1286 of the Proceedings.

  • @abhinandanmehra7765
    @abhinandanmehra7765 3 роки тому

    In which year this video has been recorded

  • @markweiler6435
    @markweiler6435 3 роки тому

    Video in the stone age

    • @shiftinggearsnpassingqueers
      @shiftinggearsnpassingqueers 3 роки тому

      Video quality yes but the minds of these men including witten are way beyond ours

    • @brendawilliams8062
      @brendawilliams8062 2 роки тому

      The spark of any man’s mind that is not a madman is the electric of existence

  • @duan1290
    @duan1290 3 роки тому

    The answer is wrong for the question around 7.05. Fermionic theories surely can have states of half-integer spins.

  • @abdusabdud8218
    @abdusabdud8218 3 роки тому

    Greatest mind after Einstein

    • @Burevestnik9M730
      @Burevestnik9M730 3 роки тому

      Einstein was a poor mind. The math for GR was developed by others not him.

    • @mamourizd
      @mamourizd 3 роки тому

      @@Burevestnik9M730 Einstein single handedly invented all physics since 1905. Who gives a shit if he wasn't a mathematician.

    • @Cosmalano
      @Cosmalano 3 роки тому

      @@mamourizd science is never an individual’s endeavor

    • @mamourizd
      @mamourizd 3 роки тому

      @@Cosmalano yeah but using the argument of the group to dismiss the contributions of an individual and call them a "poor mind" is peak dishonesty.

    • @brb4903
      @brb4903 3 роки тому

      @@Burevestnik9M730 nice of u that u managed to talk to such a genius

  • @ShahryarKhan-KHANSOLO-
    @ShahryarKhan-KHANSOLO- 3 роки тому

    Role model ❤️

  • @SatoshiNawata
    @SatoshiNawata 3 роки тому

    Comment "One of the most important talks in 21st century" was made by Andrey Losev

  • @SatoshiNawata
    @SatoshiNawata 3 роки тому

    Sorry, but I miss the first 5 min due to the technical problem.