Towards equivariant Yang-Mills theory
High Energy Physics - Theory
2023-08-21 v2 Mathematical Physics
math.MP
Quantum Algebra
Abstract
We study four dimensional gauge theories in the context of an equivariant extension of the Batalin-Vilkovisky (BV) formalism. We discuss the embedding of BV Yang-Mills (YM) theory into a larger BV theory and their relation. Partial integration in the equivariant BV setting (BV push-forward map) is performed explicitly for the abelian case. As result, we obtain a non-local homological generalization of the Cartan calculus and a non-local extension of the abelian YM BV action which satisfies the equivariant master equation.
Cite
@article{arxiv.2210.00372,
title = {Towards equivariant Yang-Mills theory},
author = {Francesco Bonechi and Alberto S. Cattaneo and Maxim Zabzine},
journal= {arXiv preprint arXiv:2210.00372},
year = {2023}
}
Comments
27 pages, refs added, published version