Infinite spin fields in d = 3 and beyond

TL;DR

This paper develops a frame-like formulation for infinite spin representations of the Poincare algebra in three dimensions, providing explicit Lagrangians, gauge invariants, and supertransformations, with brief discussions on higher dimensions.

Contribution

It introduces explicit Lagrangian formulations and supertransformations for infinite spin fields in three dimensions, extending understanding of such fields beyond previous theoretical frameworks.

Findings

Explicit Lagrangian formulations for bosonic and fermionic infinite spin fields in 3D

Supertransformations for supermultiplets containing these fields

Brief discussion on properties in higher dimensions

Abstract

In this paper we consider the frame-like formulation for the so called infinite (continuous) spin representations of the Poincare algebra. In the three dimensional case we give explicit Lagrangian formulation for bosonic and fermionic infinite spin fields (including the complete sets of the gauge invariant objects and all the necessary extra fields). Moreover we find the supertransformations for the supermultiplet containing one bosonic and one fermionic fields leaving the sum of their Lagrangians invariant. Properties of such fields and supermultiplets in four and higher dimensions are also briefly discussed.