Anomaly-Free Tensor-Yang-Mills System and Its Dual Formulation

TL;DR

This paper explores the anomaly cancellation and dual formulation of a six-dimensional supersymmetric Yang-Mills system coupled with a tensor multiplet, revealing modifications to classical equations and their relation to supergravity theories.

Contribution

It introduces an anomaly-corrected set of equations for the tensor-Yang-Mills system and presents a dual formulation where the tensor multiplet is free, advancing understanding of anomaly cancellation in higher-dimensional supersymmetric theories.

Findings

Anomaly cancellation modifies classical equations of motion.

Dual formulation with free tensor multiplet is established.

Results align with recent supergravity models in six dimensions.

Abstract

We consider the (1,0) supersymmetric Yang-Mills multiplet coupled to a self-dual tensor multiplet in six dimensions. It is shown that the counterterm required to cancel the one-loop gauge anomaly modifies the classical equations of motion previously obtained by Bergshoeff, Sezgin and Sokatchev (BSS). We discuss the supermultiplet structure of the anomalies exhibited in the resulting equations of motion. The anomaly corrected field equations agree with the global limit, recently obtained by Duff, Liu, Lu and Pope, of a matter coupled supergravity theory in six dimensions. We also obtain the dual formulation of the BSS model in which the tensor multiplet is free while the field equations of the Yang-Mills multiplet contain the fields of the tensor multiplet at the classical level.