Light-front description of infinite spin fields in six-dimensional Minkowski space

TL;DR

This paper develops a novel light-front formulation of six-dimensional infinite spin fields, deriving their Lorentz-covariant counterparts, Casimir operators, and Poincaré generators, advancing the theoretical understanding of higher-dimensional infinite spin representations.

Contribution

It introduces a new light-front approach to 6D infinite spin fields, including their Lorentz-covariant form, Casimir operators, and Poincaré group generators, which was not previously established.

Findings

Derived Lorentz-covariant infinite spin fields in 6D

Found Casimir operators for these fields

Presented Poincaré group generators and action in light-front form

Abstract

We present a new $6D$ infinite spin field theory in the light-front formulation. The Lorentz-covariant counterparts of these fields depend on 6-vector coordinates and additional spinor variables. Casimir operators in this realization are found. We obtain infinite-spin fields in the light-cone frame which depend on two sets of the $\mathrm{SU}(2)$-harmonic variables. The generators of the $6D$ Poincar\'e group and the infinite spin field action in the light-front formulation are presented.