More anomaly-free models of six-dimensional gauged supergravity

TL;DR

This paper constructs numerous anomaly-free six-dimensional gauged supergravity models with specific gauge groups, explores their potential flat directions, and analyzes anomaly contributions from fermions, advancing the understanding of consistent supergravity theories.

Contribution

It introduces a large class of anomaly-free models with product gauge groups and examines their scalar potential and anomaly contributions, which was not previously detailed.

Findings

Many anomaly-free models with U(1) and SU(2) gauge groups

Potential flat directions when R-symmetry is gauged with another group

Determination of SU(2) anomaly contributions from fermions

Abstract

We construct a huge number of anomaly-free models of six-dimensional N = (1,0) gauged supergravity. The gauge groups are products of U(1) and SU(2), and every hyperino is charged under some of the gauge groups. It is also found that the potential may have flat directions when the R-symmetry is diagonally gauged together with another gauge group. In an appendix, we determine the contribution to the global SU(2) anomaly from symplectic Majorana Weyl fermions in six dimensions.