Supersymmetric AdS$_{5}$ solutions of type IIB supergravity without D3 branes

TL;DR

This paper classifies all supersymmetric solutions of type IIB supergravity with an AdS$_5$ factor and vanishing five-form flux, extending the understanding of AdS$_5$ solutions without D3-branes.

Contribution

It completes the classification of all supersymmetric AdS$_5$ solutions in type IIB supergravity with specific flux conditions, including a solution derived via non-Abelian T-duality.

Findings

Classified all bosonic supersymmetric solutions with AdS$_5$ and zero five-form flux.

Demonstrated how a known solution satisfies supersymmetry conditions.

Extended the solution space of AdS$_5$ backgrounds in type IIB supergravity.

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 $M_{5}$, where the five-form flux vanishes, while all remaining fluxes are allowed to be non-vanishing consistent with SO(4,2) symmetry. This completes the program of classifying all supersymmetric solutions of ten and eleven-dimensional supergravity with an AdS$_5$ factor. We investigate the supersymmetry conditions in some special cases, and demonstrate how these are satisfied by a solution originally found in arXiv:1410.2650[hep-th], utilising the method of non-Abelian T-duality.