Equivariant BV-BFV Formalism

TL;DR

This paper extends the equivariant BV formalism to manifolds with boundary, providing a framework that incorporates boundary conditions, with AKSZ theories serving as a key example.

Contribution

It introduces an extension of the equivariant BV formalism to manifolds with boundary, broadening its applicability in mathematical physics.

Findings

Extended formalism to manifolds with boundary

Applied to AKSZ theories as a practical example

Provides a foundation for boundary conditions in equivariant BV

Abstract

The recently introduced equivariant BV formalism is extended to the case of manifolds with boundary under appropriate conditions. AKSZ theories are presented as a practical example.