Type IIB supergravity on squashed Sasaki-Einstein manifolds

TL;DR

This paper develops a consistent truncation of type IIB supergravity on squashed Sasaki-Einstein manifolds, capturing universal gauge modes and revealing a rich 5D model with both supersymmetric and non-supersymmetric AdS vacua.

Contribution

It presents the first consistent N=4 Kaluza-Klein truncation on general squashed Sasaki-Einstein manifolds, including all relevant supergravity modes dual to the universal gauge sector.

Findings

Includes zero-modes and massive Kaluza-Klein modes.

Contains tensor fields dual to charged vectors.

Features a scalar potential with both supersymmetric and non-supersymmetric AdS vacua.

Abstract

We provide a consistent N=4 Kaluza-Klein truncation of type IIB supergravity on general 5-dimensional squashed Sasaki-Einstein manifolds. Our reduction ansatz keeps all and only the supergravity modes dual to the universal gauge sector of the associated conformal theories, via the gauge/gravity correspondence. The reduced 5-dimensional model displays remarkable features: it includes both zero-modes as well as massive iterations of the Kaluza-Klein operators on the internal manifold; it contains tensor fields dual to vectors charged under a non-abelian gauge group; it has a scalar potential with a non-supersymmetric AdS vacuum in addition to the supersymmetric one.