Anomalous Interactions of Five Dimensional USp(2k) Gauge Theory

TL;DR

This paper investigates the anomalous interactions in a five-dimensional USp(2k) gauge theory with hypermultiplets, exploring a new phase where scalar vevs are non-zero, extending previous Coulomb phase analyses.

Contribution

It introduces the analysis of anomalous interactions in a novel phase of five-dimensional USp(2k) gauge theory with non-zero scalar vevs, generalizing prior Coulomb phase results.

Findings

Identification of anomalous interactions in the new phase.

Connection to matrix model via T-duality.

Extension of Coulomb phase results to non-zero scalar vevs.

Abstract

We consider the five dimensional $USp(2k)$ gauge theory which consists of one antisymmetric and $n_{f}$ fundamental hypermultiplets. This gauge theory is a many-probe generalization of the SU(2) gauge theory in five dimensions considered by Seiberg in the context of probing type I superstring by a D4-brane. This gauge theory can also be obtained from the USp(2k) matrix model by matrix T-dual transformations in the large k limit. We exhibit the anomalous interaction associated with this five dimensional theory on the new phase, where the vacuum expectation values (vevs) of the scalars belonging to the antisymmetric hypermultiplet are also nonvanishing. On the Coulomb phase, the anomalous interaction has been computed in [1, 2].