A Note on S.Weinberg, "Massless Particles in Higher Dimensions"

TL;DR

This paper proves Weinberg's conjecture regarding the little-group representations of massless particles in higher dimensions and extends the result to all irreducible representations of the Lorentz algebra.

Contribution

The paper provides a proof of Weinberg's conjecture and generalizes it to arbitrary irreducible representations of the Lorentz algebra in higher dimensions.

Findings

Confirmed Weinberg's conjecture for massless particles in higher dimensions

Extended the conjecture to all irreducible representations of $so(1,d-1)$

Established a generalized framework for massless particle representations

Abstract

In [1], Weinberg made a conjecture about the little-group representations of massless particles that can be created out of the vacuum by the action of a local operator in $d$ dimensions, generalizing his old result [2] in $d=4$. In this note, I prove his conjecture and extend it to arbitrary irreps of $so(1,d-1)$.