In spacetimes of any dimensionality, the massless particle states that can be created and destroyed by a field in a given representation of the Lorentz group are severely constrained by the condition that the invariant Abelian subgroup of the little group must leave these states invariant. A number of examples are given of the massless one-particle states that can be described by various tensor and spinor-tensor fields, and a speculation is offered for the general case.

• Received 5 October 2020
• Accepted 27 October 2020

DOI:https://doi.org/10.1103/PhysRevD.102.095022

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Published by the American Physical Society