Modified Wigner equations and continuous spin gauge field

TL;DR

This paper introduces modified Wigner equations for continuous spin particles and derives their gauge field actions, connecting higher-spin theories with infinite spin limits in flat spacetime.

Contribution

It proposes new modified Wigner equations for CSPs and derives their gauge actions from higher-spin theories, extending previous work to flat spacetime.

Findings

Derived modified Wigner equations for bosonic and fermionic CSPs

Connected higher-spin actions to CSP actions via infinite spin limit

Provided a framework for gauge-fixed equations of motion for CSPs

Abstract

In this paper, we first propose the bosonic (fermionic) modified Wigner equations for continuous spin particle (CSP). Secondly, starting from the (Fang-)Fronsdal-like equation, we will reach to the modified action of bosonic (fermionic) continuous spin gauge field in flat spacetime, presented recently by Metsaev in A(dS) spacetime. We shall also explain how to obtain the proposed modified Wigner equations from the gauge-fixed equations of motion. Finally, we will consider the massive bosonic (fermionic) higher-spin action and, by taking the infinite spin limit, we will arrive at the modified bosonic (fermionic) CSP action.