Gaugino Condensation and Generation of Supersymmetric 3-Form Flux

TL;DR

This paper extends supergravity solutions for N=1* gauge theory, showing how a (3,0)-form flux arises from gaugino condensation, indicating a link between flux generation and supersymmetric confining phases.

Contribution

It demonstrates the emergence of a (3,0)-form flux in type IIB supergravity duals of N=1* gauge theory at cubic order, connecting flux formation to gaugino condensates.

Findings

Identification of a (3,0)-form flux associated with gaugino condensation.

Verification of supersymmetry conditions in the extended solution.

Discussion of SU(2)-structure in the supersymmetric background.

Abstract

We extend the linearised solution of Polchinski and Strassler describing the supergravity dual of the N=1* gauge theory. By analysing the equations of motion of type IIB supergravity at cubic order in the mass perturbation parameter, we demonstrate the emergence of a 3-form flux of type (3,0) with respect to the natural complex structure. The generation of this flux can be associated to the dynamical formation of a gaugino condensate in the confining phase of the N=1* gauge theory. We also check that the supersymmetry conditions are satisfied, and we discuss how this (3,0)-form flux is tied to the existence of a supersymmetric background with SU(2)-structure.