The Baryonic Branch of Klebanov-Strassler Solution: a Supersymmetric Family of SU(3) Structure Backgrounds

TL;DR

This paper constructs a one-parameter family of supersymmetric type IIB solutions that interpolate between the Klebanov-Strassler and Maldacena-Nunez backgrounds, representing the baryonic branch of the dual gauge theory.

Contribution

It introduces a new family of SU(3)-structure backgrounds interpolating between known solutions, providing insights into the baryonic branch of gauge theories.

Findings

The family interpolates between KS and MN solutions.

The solutions are regular and supersymmetric.

Asymptotic behaviors match KS and MN at endpoints.

Abstract

We exhibit a one-parameter family of regular supersymmetric solutions of type IIB theory that interpolates between Klebanov-Strassler (KS) and Maldacena-Nunez (MN). The solution is obtained by applying the supersymmetry conditions for SU(3)-structure manifolds to an interpolating ansatz proposed by Papadopoulos and Tseytlin. Other than at the KS point, the family does not have a conformally-Ricci-flat metric, neither it has self-dual three-form flux. Nevertheless, the asymptotic IR and UV are that of KS troughout the family, except for the extremal value of the interpolating parameter where the UV solution drastically changes to MN. This one-parameter family of solutions is interpreted as the dual of the baryonic branch of gauge theory, confirming the expecation that the KS solution corresponds to a particular symmetric point in the branch.