A companion to "Non-K\"ahler Deformed Conifold, Ultra-Violet Completion and Supersymmetric Constraints in the Baryonic Branch"

TL;DR

This paper develops a highly general supergravity background model for the baryonic branch of the Klebanov Strassler theory, unifying known solutions and expanding the landscape of gauge-gravity dualities with rigorous consistency checks.

Contribution

It introduces a comprehensive non-Kähler resolved warped-deformed conifold framework that encompasses and extends existing supergravity solutions for the baryonic branch.

Findings

Derivation of constraints for supersymmetric solutions

Unification of known models like KS, MN, and others within a general framework

Validation of the new backgrounds through consistency checks

Abstract

In the appropriate limit, a type IIB string theory setup involving D3 branes, wrapped D5 branes, and fluxes on a conifold generally leads to a supergravity background involving a warped version of the conifold with fluxes. We study the supergravity dual of the baryonic branch of the Klebanov Strassler theory by writing down a very general conifold metric--the non-K\"ahler resolved warped-deformed conifold--and a general set of fluxes that satisfy the supergravity equations of motion, and derive the necessary constraints that allow the geometry to be dual to an $\mathcal{N}=1$ supersymmetric gauge theory in $3+1$ dimensions. These backgrounds encompass known solutions, such as the KS, MN and Butti et al. models, but the added layer of generality can lead to a larger class of gauge-gravity dualities. We also present many consistency checks that validate our background matches known cases for certain values in our parameter space. This is a companion paper to arXiv:1805.03676 [hep-th] covering the section 'IR physics, dualities, and supersymmetry'.