On the particle content of MHS theory

TL;DR

This paper investigates the particle spectrum of the Moyal-Higher-Spin (MHS) theory, revealing infinite/continuous-spin degrees of freedom through Casimir operator analysis and proposing an on-shell basis for these states.

Contribution

It provides the first detailed analysis of the particle content in MHS models, including the calculation of the Casimir operator and the characterization of infinite-spin states.

Findings

Casimir operator is generally non-zero, indicating infinite/continuous-spin particles.

Proposes an on-shell basis for infinite/continuous-spin states.

Analyzes the particle content of a massive MHS model.

Abstract

The Moyal-Higher-Spin (MHS) formalism, involving fields dependent on spacetime and auxiliary coordinates, is an approach to studying higher spin (HS)-like models. To determine the particle content of the MHS model of the Yang-Mills type, we calculate the quartic Casimir operator for on-shell MHS fields, finding it generally non-vanishing, indicative of infinite/continuous-spin degrees of freedom. We propose an on-shell basis for these infinite/continuous-spin states. Additionally, we analyse the content of a massive MHS model.