BV Formalism and Partition Functions

TL;DR

This paper applies the BV formalism to derive partition functions of gauge-invariant operators, exploring their interpretations, dualities, and connections to first quantized models in field theory.

Contribution

It introduces a novel application of the BV formalism to compute partition functions considering equations of motion and redundancies, linking to dualities and first quantized models.

Findings

Partition functions derived for gauge-invariant operators.

Identification of dualities and interpretative frameworks.

Connections established with first quantized models.

Abstract

The BV formalism is a well-established method for analyzing symmetries and quantization of field theories. In this paper we use the BV formalism to derive partition functions of gauge invariant operators up to equations of motions and their redundancies of selected theories. We discuss various interpretations of the results, some dualities and relation to first quantized models.