Symmetry inheritance for Yang–Mills fields and topologically coupled p-forms

Establish an extension of the near-horizon symmetry-inheritance result from Maxwell fields to Yang–Mills fields and to p-form theories whose field equations contain the specified topological terms, including a precise formulation of invariance for Yang–Mills fields.

Background

The paper proves that Maxwell fields in near-horizon geometries inherit the enhanced spacetime symmetries generated by the shift, boost, additional near-horizon, and horizon-symmetry vector fields. The authors suggest that a related result should hold for broader matter models considered in prior work.

The proposed extension concerns Yang–Mills fields and p-form fields with particular topological terms. Although these theories are described as behaving well at extremal Killing horizons, the authors state that the extension is only conjectural and that the precise notion of invariance—especially for Yang–Mills fields—is unclear.