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

Abstract

Abstract We study solutions of type IIB string theory dual to N $$ \mathcal{N} $$ = 4 supersymmetric Yang-Mills theory on half of ℝ3,1 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 ℝ2,1×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.

Keywords

• AdS-CFT Correspondence
• Gauge-gravity correspondence
• Supersymmetric Gauge Theory