Gauge-invariant models of interacting fields with spins 3,1 and 0

TL;DR

This paper introduces new local gauge-invariant models involving interacting fields of spins 3, 1, and 0, utilizing a novel deformation approach within the Batalin-Vilkovisky formalism to explicitly construct the models.

Contribution

It develops a new method for constructing gauge-invariant models using explicit deformation procedures in the BV formalism, applied to spins 3, 1, and 0.

Findings

New gauge-invariant models with spins 3, 1, and 0

Deformation approach based on anticanonical transformations

Models' actions are local and gauge-invariant

Abstract

New local gauge-invariant models of interacting fields with spins 3, 1 and 0 are found. The construction of the models is completely based on the new approach to the deformation problem proposed in our papers (Buchbinder and Lavrov in JHEP 06: 097, 2021; Buchbinder and Lavrov in Eur. Phys. J. C 81:856, 2021; Lavrov in Eur. Phys. J. C 82:429, 2022). The approach allows to describe the deformation procedure for theories with gauge freedom in an explicit and closed form in terms of special anticanonical transformations of the Batalin-Vilkovisky formalism. The action of the models appears as a local part of the deformed action which is represented by a functional of the fourth order in fields. This functional is invariant under original gauge transformations.