Publication: Towards equivariant Yang-Mills theory
Towards equivariant Yang-Mills theory
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Bonechi, F., Cattaneo, A. S., & Zabzine, M. (2023). Towards equivariant Yang-Mills theory. Journal of Geometry and Physic, 189, 104836. https://doi.org/10.1016/j.geomphys.2023.104836
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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.
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- Bonechi, F
- Cattaneo, A S
- Zabzine, M
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Bonechi, F., Cattaneo, A. S., & Zabzine, M. (2023). Towards equivariant Yang-Mills theory. Journal of Geometry and Physic, 189, 104836. https://doi.org/10.1016/j.geomphys.2023.104836