Supersymmetric AdS_5 Solutions of Type IIB Supergravity

TL;DR

This paper classifies all supersymmetric solutions of type IIB supergravity with AdS_5 factors, providing new exact and numerical solutions that expand understanding of holographic duals in string theory.

Contribution

It characterizes the conditions for supersymmetric AdS_5 solutions in type IIB supergravity using local structures and finds new solutions, including an exact one and additional numerical solutions.

Findings

Derived necessary and sufficient conditions using local identity structures.

Found an exact solution matching Pilch and Warner's earlier work.

Discovered additional solutions through numerical analysis.

Abstract

We analyse the most general bosonic supersymmetric solutions of type IIB supergravity whose metrics are warped products of five-dimensional anti-de Sitter space AdS_5 with a five-dimensional Riemannian manifold M_5. All fluxes are allowed to be non-vanishing consistent with SO(4,2) symmetry. We show that the necessary and sufficient conditions can be phrased in terms of a local identity structure on M_5. For a special class, with constant dilaton and vanishing axion, we reduce the problem to solving a second order non-linear ODE. We find an exact solution of the ODE which reproduces a solution first found by Pilch and Warner. A numerical analysis of the ODE reveals an additional class of local solutions.