On N = 2 Truncations of IIB on T^{1,1}

TL;DR

This paper investigates N=2 truncations of IIB supergravity on T^{1,1}, clarifying superpotential structures and deriving a superpotential relevant to the Klebanov-Strassler baryonic branch, advancing understanding of supergravity reductions.

Contribution

It provides a detailed analysis of N=2 subsectors in IIB supergravity on T^{1,1} and derives a superpotential linked to the Klebanov-Strassler solution's baryonic branch.

Findings

Clarified the relationship between true and fake superpotentials.

Derived a superpotential for general IIB supergravity reduction on T^{1,1}.

Connected superpotential to the baryonic branch of Klebanov-Strassler.

Abstract

We study the N=4 gauged supergravity theory which arises from the consistent truncation of IIB supergravity on the coset T^{1,1}. We analyze three N=2 subsectors and in particular we clarify the relationship between true superpotentials for gauged supergravity and certain fake superpotentials which have been widely used in the literature. We derive a superpotential for the general reduction of type I supergravity on T^{1,1} and this together with a certain solution generating symmetry is tantamount to a superpotential for the baryonic branch of the Klebanov-Strassler solution.