Speaker
Description
The cobordism conjecture implies that consistent theories of Quantum Gravity must admit the introduction of boundaries. We study the dynamical realization of the cobordism conjecture in type IIB in $AdS_5\times S^5$, using the existing gravity duals of 4d $\mathcal{N} = 4$ SYM with Gaiotto-Witten superconformal boundary conditions (near-horizon limits of D3-branes ending on NS5- and D5-branes). We show that these configurations are, from the 5d perspective, dynamical cobordism solutions which start from an asymptotic $AdS_5$ vacuum and evolve until they hit an end of the world (ETW) brane with $AdS_4$ worldvolume. We extend the picture to $AdS_5$ 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.
