Finding AdS 5 × S 5 in 2+1 dimensional SCFT physics

We study solutions of type IIB string theory dual to 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 AdS 5 × S 5 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 AdS 5 × S 5 . 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 AdS 5 × S 5 . We also show that there are 3D SCFTs whose dual includes a wedge of Poincaré AdS 5 × S 5 with an angle arbitrarily close to π , with geometrical ETW branes on either side.