N=1 Supersymmetric Renormalization Group Flows from IIB Supergravity

TL;DR

This paper explores N=1 supersymmetric renormalization group flows in N=4 Yang-Mills theory using ten-dimensional IIB supergravity, constructing explicit lifts and analyzing the resulting brane configurations and singularities.

Contribution

It provides the complete ten-dimensional lift of specific RG flows and analyzes the associated brane configurations and singularities in IIB supergravity.

Findings

Constructed the full ten-dimensional lift of the LS flow.

Analyzed the super-QCD GPPZ flow and its IR brane configurations.

Identified singularities as duality-averaged ring distributions of 5-branes.

Abstract

We consider N=1 supersymmetric renormalization group flows of N=4 Yang-Mills theory from the perspective of ten-dimensional IIB supergravity. We explicitly construct the complete ten-dimensional lift of the flow in which exactly one chiral superfield becomes massive (the LS flow). We also examine the ten-dimensional metric and dilaton configurations for the ``super-QCD'' flow (the GPPZ flow) in which all chiral superfields become massive. We show that the latter flow generically gives rise to a dielectric 7-brane in the infra-red, but the solution contains a singularity that may be interpreted as a ``duality averaged'' ring distribution of 5-branes wrapped on S^2. At special values of the parameters the singularity simplifies to a pair of S-dual branes with (p,q) charge (1,\pm 1).