How the Little Group Constrains Massless Field Representations in Higher Even Dimensions

TL;DR

This paper explores how the little group constrains massless field representations in higher even dimensions, revealing a connection between helicity and chirality, and emphasizing the role of gauge transformations.

Contribution

It establishes a simple correspondence between massless field representations and little group states in higher even dimensions, extending understanding of helicity and chirality.

Findings

Derived a correspondence between field representations and little group states.

Connected helicity and chirality across all dimensions.

Highlighted the role of gauge transformations in restricted representations.

Abstract

Assuming trivial action of Euclidean translations of the little group, we derive a simple correspondence between massless field representations transforming under the full generalized even dimensional Lorentz group, and highest weight states of the relevant little group. This yields a connection between `helicity' and `chirality' in all dimensions, and highlights the special nature of the restricted representations under `gauge' transformations.