Supereigenvalue Model and Dijkgraaf-Vafa Proposal

TL;DR

This paper introduces a variant of the supereigenvalue model that aligns with recent Ward-Takahashi identities and compares it with an N=2 superVirasoro constrained model, advancing understanding of supersymmetric gauge theories.

Contribution

It proposes a new supereigenvalue model variant that reproduces key loop equations and compares it with a model implementing N=2 superVirasoro constraints.

Findings

Derivation of three planar loop equations matching Ward-Takahashi identities

Construction of a model with N=2 superVirasoro constraints

Comparison elucidates differences and similarities between models

Abstract

We present a variant of the supereigenvalue model proposed before by Alvarez-Gaume, Itoyama, Manes, and Zadra. This model derives a set of three planar loop equations which takes the same form as the set of three anomalous Ward-Takahashi identities on the gaugino condensates recently derived by Cachazo, Douglas, Seiberg and Witten. Another model which implements N=2 superVirasoro constraints is constructed for comparison.