Equivariant Batalin-Vilkovisky formalism
High Energy Physics - Theory
2021-01-20 v3 Mathematical Physics
math.MP
Quantum Algebra
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.
Cite
@article{arxiv.1907.07995,
title = {Equivariant Batalin-Vilkovisky formalism},
author = {Francesco Bonechi and Alberto S. Cattaneo and Jian Qiu and Maxim Zabzine},
journal= {arXiv preprint arXiv:1907.07995},
year = {2021}
}
Comments
22 pages, refs added, typos corrected, the final published version in J.Geom.Phys