# BRST-BV approach to continuous-spin field

## TL;DR

This paper develops a BRST-BV framework for describing massless and massive continuous-spin fields in flat space, deriving gauge-invariant Lagrangians and exploring their gauge fixing and symmetries.

## Contribution

It introduces a novel BRST-BV approach to continuous-spin fields, connecting gauge-invariant Lagrangians with metric-like formulations and analyzing gauge fixing.

## Key findings

- Derived BRST-BV gauge invariant Lagrangian for continuous-spin fields
- Established relation between BRST-BV and metric-like Lagrangians
- Obtained gauge-fixed Lagrangian with BRST and antiBRST invariance

## Abstract

Using BRST-BV approach, massless and massive continuous-spin fields propagating in the flat space are studied. For such fields, BRST-BV gauge invariant Lagrangian is obtained. The Lagrangian and gauge transformations are constructed out of traceless gauge fields and traceless gauge transformation parameters. Interrelation between the BRST-BV Lagrangian and the Lagrangian for the continuous-spin fields in metric-like approach is demonstrated. Considering the BRST-BV Lagrangian in the Siegel gauge, we get gauge-fixed Lagrangian which is invariant under global BRST and antiBRST transformations.