Seiberg Duality in Matrix Models II

TL;DR

This paper extends the study of Seiberg duality within matrix models by incorporating degenerate mass deformations, providing a methodology for analyzing theories with moduli spaces and complex IR dynamics.

Contribution

It introduces a general approach for matrix model integration in theories with non-trivial IR behavior and massless fields, advancing the understanding of dualities in such contexts.

Findings

Demonstrates the handling of degenerate mass deformations in matrix models.

Proposes a methodology for theories with moduli spaces and IR complexity.

Provides illustrative examples of the approach.

Abstract

In this paper we continue the investigation, within the context of the Dijkgraaf-Vafa Programme, of Seiberg duality in matrix models as initiated in hep-th/0211202, by allowing degenerate mass deformations. In this case, there are some massless fields which remain and the theory has a moduli space. With this illustrative example, we propose a general methodology for performing the relevant matrix model integrations and addressing the corresponding field theories which have non-trivial IR behaviour, and which may or may not have tree-level superpotentials.