Supersymmetric Consistent Truncations of IIB on T(1,1)

TL;DR

The paper constructs a full $SU(2)\times SU(2)$-invariant consistent truncation of type IIB supergravity on $T^{1,1}$, yielding a five-dimensional $\mathcal{N}=4$ gauged supergravity with three vector multiplets whose gauging is fixed by geometric and topological fluxes. It demonstrates that the Papadopoulos–Tseytlin ansatz is embedded within this framework, provides explicit uplift formulas, and organizes the spectrum of deformations around the warped conifold and its baryonic branch. The embedding tensor analysis reveals the precise gauging structure, including a Heisenberg-type algebra and flux-induced gaugings, while additional truncations (PT and $\mathcal{I}$) illustrate the route to lower-supersymmetry sectors. Overall, the work offers a robust toolset for analyzing flux compactifications with warped throats and their holographic and phenomenological implications.

Abstract

We study consistent Kaluza-Klein reductions of type IIB supergravity on T(1,1) down to five-dimensions. We find that the most general reduction containing singlets under the global SU(2)xSU(2) symmetry of T(1,1) is N=4 gauged supergravity coupled to three vector multiplets with a particular gauging due to topological and geometric flux. Key to this reduction is several modes which have not been considered before in the literature and our construction allows us to easily show that the Papadopoulos - Tseytlin ansatz for IIB solutions on T(1,1) is a consistent truncation. This explicit reduction provides an organizing principle for the linearized spectrum around the warped deformed conifold as well as the baryonic branch and should have applications to the physics of flux compactifications with warped throats.