Abstract
Abstract We study the $\mathcal{N} = 4$ gauged supergravity theory which arises from the consistent truncation of IIB supergravity on the coset T 1,1. We analyze three $\mathcal{N} = 2$ 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.
Highlights
Starting with the work [1], the study of type IIB supergravity on the conifold has given rise to much progress in gauge/gravity duality
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
Summary
Starting with the work [1], the study of type IIB supergravity on the conifold has given rise to much progress in gauge/gravity duality It provides an example of a gravity dual to a non-conformal, four dimensional field theory with minimal supersymmetry [2]. One goal of the current work is to develop the N = 2 five dimensional gauged supergravity theories which are relevant for studying the physics of the warped deformed conifold solution and its relatives. One such N = 2 theory is obtained by truncating to. The latter eight vectors correspond to the potentials (bi, k11, k12, bi, L2, L2), where the two-form potentials bi and L2 are dual to vectors in five dimensions
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