Peccei-Quinn-like symmetries for nonabelian axions

TL;DR

This paper introduces nonabelian axions with generalized Peccei-Quinn symmetries as potential dark matter candidates, demonstrating their non-anomalous nature through advanced mathematical analysis.

Contribution

It presents a novel nonabelian extension of axions and analyzes their symmetry properties, expanding the theoretical framework for dark matter research.

Findings

Nonabelian axions can serve as dark matter candidates.

The introduced symmetries are shown to be non-anomalous.

Theoretical analysis confirms the viability of these symmetries.

Abstract

Axions were first introduced in connection with chiral symmetry but are now being looked for mainly as dark matter. In this paper we introduce a nonabelian analogue of axions which can also be potential candidates for dark matter. Their nonabelian symmetries, which are generalizations of the Peccei-Quinn symmetry, are interesting in their own right. Detailed analysis, using fermion measure and zeta function approaches shows that these symmetries are not anomalous.