Towards equivariant Yang-Mills theory

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.

arXiv comment27 pages, refs added, published version

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Cited by in corpus (6)

• Geometric BV for twisted Courant sigma models and the BRST power finesse
• Consistent deformations in the presymplectic BV-AKSZ approach
• Gravity from AKSZ-Manin theories in two, three, and four dimensions
• A topological quantum field theory for $\mathrm{Spin}(7)$-instantons
• Equivariant localization in Batalin-Vilkovisky formalism
• Equivariant BV-BFV Formalism