Non-Abelian Carrollian axion theories

Establish how an axion coupling modifies the electric and magnetic Carrollian limits of non-Abelian Yang–Mills theory, including the reduced phase-space structure obtained through a Dirac–Bergmann analysis.

Background

The paper proposes extending Carrollian axion electrodynamics from the Abelian Maxwell setting to non-Abelian Yang–Mills theory with a theta term. Carroll expansions of bare Yang–Mills theory already produce distinct electric and magnetic sectors, including sectors that preserve non-Abelian self-interactions and sectors reducing to multiple Abelian Carrollian theories.

The effect of adding the axion coupling to this structure is not determined. In particular, the authors identify the reduced phase space and its constraint structure as important unresolved aspects of the non-Abelian generalization.