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

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Summary

Introduction

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

Duality transformations
BPS domain-wall equations
Betti-hyper truncation
Killing vectors
The superpotential
Betti-vector truncation
NS-sector truncation
Discussion
Fake superpotentials and the warped deformed conifold
Superpotential for the baryonic branch of the warped deformed conifold
A Details of the Betti-hyper truncation
Hypermultiplet sector The hypermultplet kinetic terms are
Fermion variations
B Details of the Betti-vector truncation
Vector multiplet sector
C Details of the NS truncation
Hypermultiplet sector

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