A systematic search for anomaly-free supergravities in six dimensions

TL;DR

This paper systematically searches for six-dimensional N=1 supergravity theories that are free of anomalies, enumerating all possible models under specific restrictions on gauge groups and matter representations.

Contribution

It provides a comprehensive classification of anomaly-free 6D supergravities with one tensor multiplet within certain constraints, advancing understanding of consistent supergravity models.

Findings

Enumerated all possible anomaly-free models under given restrictions

Identified specific gauge groups and hypermultiplet representations that satisfy anomaly cancellation

Established a framework for classifying 6D supergravity theories

Abstract

We conduct a systematic search for anomaly-free six-dimensional N=1 chiral supergravity theories. Under a certain set of restrictions on the allowed gauge groups and the representations of the hypermultiplets, we enumerate all possible Poincare and gauged supergravities with one tensor multiplet satisfying the 6D anomaly cancellation criteria.