BRST-BV approach to massless fields adapted to AdS/CFT correspondence

TL;DR

This paper develops a BRST-BV framework for massless and massive fields in flat and AdS spaces, providing gauge-invariant Lagrangians that simplify the analysis of AdS/CFT correspondence.

Contribution

It introduces a BRST-BV approach tailored for AdS and flat space fields, enabling simplified gauge-fixed equations relevant for AdS/CFT studies.

Findings

Derived gauge-invariant BRST-BV Lagrangians for AdS and flat space fields.

Simplified equations of motion via Siegel gauge for AdS fields.

Realization of conformal algebra symmetries on field and antifield spaces.

Abstract

Using BRST-BV formulation of relativistic dynamics, arbitrary spin massless and massive field propagating in flat space and arbitrary spin massless fields propagating in AdS space are considered. For such fields, BRST-BV Lagrangians invariant under gauge transformations are obtained. The Lagrangians and gauge transformations are built in terms of traceless gauge fields and traceless gauge transformation parameters. The use of the Poincare parametrization of AdS space allows us to get simple BRST-BV Lagrangian for AdS fields. By imposing the Siegel gauge condition, we get gauge-fixed Lagrangian which leads to decoupled equations of motion for AdS fields. Such equations of motion considerably simplify the study of AdS/CFT correspondence. In the basis of conformal algebra, realization of relativistic symmetries on space of fields and antifields entering the BRST-BV formulation of AdS fields is obtained.