On BRST Lagrangian formulation of massless higher spin fields

TL;DR

This paper presents a clear and simple Lagrangian formulation for free four-dimensional massless higher-spin fields using the universal BRST approach, expressed through two-component spin-tensors.

Contribution

It introduces a novel, simplified BRST-based Lagrangian formulation for massless higher-spin fields in four dimensions, emphasizing clarity and universality.

Findings

Demonstrates the simplicity of the BRST Lagrangian formulation

Provides explicit description using two-component spin-tensors

Highlights the universality of the approach

Abstract

The paper is dedicated to the blessed memory of Professor Vladislav Gavrilovich Bagrov, an outstanding Russian scientist in the area of theoretical and mathematical physics. He had a great influence on the formation of the scientific interests dozens of scientists in Tomsk and Russia as a whole. Two of the authors of this paper (I.L.B and V.A.K) are to one degree or another grateful to Professor V.G. Bagrov for comprehensive support in the initial period of their scientific career. Two other authors (S.A.F. and A.P.I.) are familiar with and use the work of scientists from the Tomsk School of Theoretical Physics, founded by Professor V.G. Bagrov. The paper is devoted to certain aspects of the higher-spin field theory, which were mainly initiated and continued during of I.L.B and V.A.K work in Tomsk. We demonstrate in details the simplicity and clearity of the Lagrangian formulation for free four-dimensional massless higher-spin fields within the universal BRST approach, while describing these fields in terms of two-component spin-tensors.