On the multilevel generalization of the field--antifield formalism

TL;DR

This paper proposes a multilevel, geometrically covariant extension of the field-antifield BV formalism, analyzing its structure and demonstrating its physical equivalence to the standard version.

Contribution

It introduces a novel multilevel generalization of the BV formalism with detailed study of quantum equations and hypergauge conditions, establishing physical equivalence.

Findings

Multilevel formalism is geometrically covariant.

Quantum generating equations are explicitly constructed.

Multilevel formalism is shown to be physically equivalent to the standard BV formalism.

Abstract

The multilevel geometrically--covariant generalization of the field--antifield BV--formalism is suggested. The structure of quantum generating equations and hypergauge conditions is studied in details. The multilevel formalism is established to be physically--equivalent to the standard BV--version.