Equivariant Batalin-Vilkovisky formalism

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.

22 pages, refs added, typos corrected, the final published version in J.Geom.Phys

References in corpus (4)

• AKSZ-BV Formalism and Courant Algebroid-induced Topological Field Theories
• Poisson sigma model on the sphere
• Covariance in the Batalin-Vilkovisky formalism and the Maurer-Cartan equation for curved Lie algebras
• Donaldson Invariants and Their Generalizations from AKSZ Topological Field Theories

Cited by in corpus (9)

• Towards equivariant Yang-Mills theory
• On Globalized Traces for the Poisson Sigma Model
• Factorization Algebras for Bulk-Boundary Systems
• 4-Manifold Topology, Donaldson-Witten Theory, Floer Homology and Higher Gauge Theory Methods in the BV-BFV Formalism
• Gravity from AKSZ-Manin theories in two, three, and four dimensions
• Equivariant BV-BFV Formalism
• Equivariant localization in Batalin-Vilkovisky formalism
• DGLA Dg and BV formalism
• A topological quantum field theory for $\mathrm{Spin}(7)$-instantons