New Algebra of Local Symmetries for Regge Limit of Yang-Mills Theories

TL;DR

This paper derives a local effective action for the Regge limit of Yang-Mills theories, analyzing its local symmetries and their algebraic structure, revealing a complex symmetry algebra decomposition.

Contribution

It introduces a multicomponent effective action capturing the symmetry transformations and decomposes the symmetry algebra into a semi-direct sum involving gauge algebras.

Findings

Symmetry algebra decomposes into a semi-direct sum of commutative and gauge algebras.

Local symmetries originate from the gauge symmetry of the underlying Yang-Mills theory.

Potential existence of solitons related to the commutative subalgebra is suggested.

Abstract

Local effective action is derived to describe Regge asymptotic of Yang-Mills theories. Local symmetries of the effective action originating from the gauge symmetry of the underlying Yang-Mills theory are studied. Multicomponent effective action is introduced to express the symmetry transformations as field transformations. The algebra of these symmetries is decomposed onto a semi-direct sum of commutative algebras and four copies of the gauge algebra of the underlying Yang-Mills theory. Possibility of existence of solitons corresponding to the commutative subalgebra of the symmetry algebra is mentioned.