BRST-BV approach to conformal fields

TL;DR

This paper develops a BRST--BV framework for totally symmetric integer spin conformal fields in flat space, providing gauge-invariant Lagrangians and symmetry realizations.

Contribution

It introduces an ordinary-derivative BRST--BV Lagrangian and gauge transformations using traceless fields, advancing the quantization of conformal fields.

Findings

Constructed gauge-invariant Lagrangian for conformal fields.

Realized conformal algebra symmetries on field and antifield space.

Provided a BRST--BV formulation for arbitrary integer spin conformal fields.

Abstract

Using the BRST--BV approach, we consider totally symmetric arbitrary integer spin conformal fields propagating in flat space. For such fields, we obtain the ordinary-derivative BRST--BV Lagrangian that is invariant under gauge transformations. In our approach, the ordinary-derivative Lagrangian and gauge transformations are constructed in terms of the respective traceless gauge fields and traceless gauge transformation parameters. We also obtain a realization of conformal algebra symmetries on the space of fields and antifields entering the BRST--BV formulation of conformal fields.