Jesús Huertas - Aspects of Dynamical Cobordism in AdS/CFT

The cobordism conjecture implies that consistent theories of Quantum Gravity must admit the introduction of boundaries. In this talk, we will present the dynamical realization of the cobordism conjecture in type IIB in AdS5 × S5, using the existing gravity duals of 4d N=4 SYM with Gaiotto-Witten superconformal boundary conditions (near-horizon limits of D3-branes ending on NS5- and D5-branes). We will show that these configurations are, from the 5d perspective, dynamical cobordism solutions which start from an asymptotic AdS5 vacuum and evolve until they hit an end of the world (ETW) brane with AdS4 worldvolume. The latter displays localization of gravity, and provide a string theory completion of the Karch-Randall AdS branes. Also, a novel double scaling limit will be presented, which zooms into the ETW brane and makes localization of gravity manifest, and which shows a tantalizing relation with wedge holography. Finally, we will briefly explain how to extend the picture to AdS5 theories with less (super)symmetry, via orbifolds and S-folds, leading to dynamical cobordisms for gravity duals of 4d theories with N=2 and N=3 supersymmetry.