Finding AdS5× S5 in 2+1 dimensional SCFT physics

Abstract

We study solutions of type IIB string theory dual to $\mathcal{N}$ = 4 supersymmetric Yang-Mills theory on half of ℝ^3,1 coupled to holographic three-dimensional superconformal field theories (SCFTs) at the edge of this half-space. The dual geometries are asymptotically AdS⁵×S⁵ with boundary geometry ℝ^2,1×ℝ⁺, with a geometrical end-of-the-world (ETW) brane cutting off the other half of the asymptotic region of the would-be Poincaré AdS⁵×S⁵. We show that by choosing the 3D SCFT appropriately, this ETW brane can be pushed arbitrarily far towards the missing asymptotic region, recovering the “missing” half of Poincaré AdS⁵×S⁵. We also show that there are 3D SCFTs whose dual includes a wedge of Poincaré AdS⁵×S⁵ with an angle arbitrarily close to π, with geometrical ETW branes on either side.