An N=1 Supersymmetric Coulomb Flow

TL;DR

This paper constructs a three-parameter family of supergravity solutions representing N=1 supersymmetric RG flows in N=4 SYM, exploring Coulomb branch deformations and testing conjectures about uplift from 5D to 10D.

Contribution

It introduces new supergravity solutions modeling N=1 supersymmetric Coulomb flows and tests uplift conjectures from five to ten dimensions.

Findings

Solutions correspond to mass deformations of chiral superfields.

Probes a two-dimensional Coulomb branch of the Leigh-Strassler fixed point.

Provides a test for uplift conjectures of scalar configurations.

Abstract

We find a three-parameter family of solutions to IIB supergravity that corresponds to N=1 supersymmetric holographic RG flows of N=4 supersymmetric Yang Mills theory. This family of solutions allows one to give a mass to a single chiral superfield, and to probe a two-dimensional subspace of the Coulomb branch. In particular, we examine part of the Coulomb branch of the Leigh-Strassler fixed point. We look at the infra-red asymptotics of these flows from the ten-dimensional perspective. We also make general conjectures for the lifting Ansatz of five-dimensional scalar configurations to ten-dimensional tensor gauge fields. Our solution provides a highly non-trivial test of these conjectures.