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arXiv · 1907.07995

Equivariant Batalin-Vilkovisky formalism

Francesco Bonechi·Alberto S. Cattaneo·Jian Qiu·Maxim Zabzine
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Abstract

We study an equivariant extension of the Batalin-Vilkovisky formalism for quantizing gauge theories. Namely, we introduce a general framework to encompass failures of the quantum master equation, and we apply it to the natural equivariant extension of AKSZ solutions of the classical master equation (CME). As examples of the construction, we recover the equivariant extension of supersymmetric Yang-Mills in 2d and of Donaldson-Witten theory.

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Francesco Bonechi, Alberto S. Cattaneo, Jian Qiu, Maxim Zabzine. 2019-07-18. Equivariant Batalin-Vilkovisky formalism. https://doi.org/10.1016/j.geomphys.2020.103720

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