A supersymmetric consistent truncation for conifold solutions

TL;DR

This paper develops a supersymmetric truncation of type IIB supergravity on T^{1,1}, leading to a five-dimensional gauged supergravity model that captures conifold solutions and reveals new non-supersymmetric AdS_5 extrema.

Contribution

It extends the Papadopoulos-Tseytlin ansatz to include all SU(2)xSU(2) invariant modes, creating a new consistent truncation that encompasses various conifold solutions and their dynamics.

Findings

Found new non-supersymmetric AdS_5 extrema.

Included the Klebanov-Strassler solution in a consistent N=2 subtruncation.

Demonstrated the model's ability to study conifold solution dynamics.

Abstract

We establish a supersymmetric consistent truncation of type IIB supergravity on the T^{1,1} coset space, based on extending the Papadopoulos-Tseytlin ansatz to the full set of SU(2)xSU(2) invariant Kaluza-Klein modes. The five-dimensional model is a gauged N=4 supergravity with three vector multiplets, which incorporates various conifold solutions and is suitable for the study of their dynamics. By analysing the scalar potential we find a family of new non-supersymmetric AdS_5 extrema interpolating between a solution obtained long ago by Romans and a solution employing an Einstein metric on T^{1,1} different from the standard one. Finally, we discuss some simple consistent subtruncations preserving N=2 supersymmetry. One of them still contains the Klebanov-Strassler solution, and is compatible with the inclusion of smeared D7-branes.