A deformation of AdS_5 x S^5

TL;DR

This paper explores a family of supersymmetric solutions in type IIB supergravity that deform AdS_5 x S^5, revealing conditions for causality, holographic duals, and supersymmetry preservation.

Contribution

It introduces a one-parameter family of solutions deforming AdS_5 x S^5, analyzing causality, holographic energy-momentum, and supersymmetry properties.

Findings

Solutions are causally well-behaved for small parameters.

Closed timelike curves appear beyond a critical parameter value.

Holographic energy-momentum tensor remains finite despite CTCs.

Abstract

We analyse a one parameter family of supersymmetric solutions of type IIB supergravity that includes AdS_5 x S^5. For small values of the parameter the solutions are causally well-behaved, but beyond a critical value closed timelike curves (CTC's) appear. The solutions are holographically dual to N=4 supersymmetric Yang-Mills theory on a non-conformally flat background with non-vanishing R-currents. We compute the holographic energy-momentum tensor for the spacetime and show that it remains finite even when the CTC's appear. The solutions, as well as the uplift of some recently discovered AdS_5 black hole solutions, are shown to preserve precisely two supersymmetries.