Consistent massive truncations of IIB supergravity on Sasaki-Einstein manifolds

TL;DR

This paper develops consistent truncations of IIB supergravity on Sasaki-Einstein manifolds, including massive modes, to construct five-dimensional gauged supergravity models relevant for holography and non-relativistic systems.

Contribution

It extends previous truncations to include the entire bosonic sector up to the second Kaluza-Klein level, proposing a criterion for consistency based on retaining lowest modes.

Findings

Extended truncations include massive multiplets up to second Kaluza-Klein level.

Conjectured that consistency requires keeping only lowest modes in massive trajectories.

Provides a framework for constructing supergravity models with massive modes for holographic applications.

Abstract

Recent work on holographic superconductivity and gravitational duals of systems with non-relativistic conformal symmetry have made use of consistent truncations of D=10 and D=11 supergravity retaining some massive modes in the Kaluza-Klein tower. In this paper we focus on reductions of IIB supergravity to five dimensions on a Sasaki-Einstein manifold, and extend these previous truncations to encompass the entire bosonic sector of gauged D=5, N=2 supergravity coupled to massive multiplets up to the second Kaluza-Klein level. We conjecture that a necessary condition for the consistency of massive truncations is to only retain the lowest modes in the massive trajectories of the Kaluza-Klein mode decomposition of the original fields. This is an extension of the well-known result that consistent truncations may be obtained by restricting to the singlet sector of the internal symmetry group.