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The unitary representations of the Poincar\'e group in any spacetime dimension

by Xavier Bekaert and Nicolas Boulanger

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Submission summary

Authors (as Contributors): Nicolas Boulanger
Submission information
Preprint link: scipost_202105_00025v1
Date accepted: 2021-06-07
Date submitted: 2021-05-18 11:27
Submitted by: Boulanger, Nicolas
Submitted to: SciPost Physics Lecture Notes
Ontological classification
Academic field: Physics
  • High-Energy Physics - Theory
  • Mathematical Physics
Approach: Theoretical


An extensive group-theoretical treatment of linear relativistic field equations on Minkowski spacetime of arbitrary dimension $D\geqslant 3$ is presented. An exhaustive treatment is performed of the two most important classes of unitary irreducible representations of the Poincar\'e group, corresponding to massive and massless fundamental particles. Covariant field equations are given for each unitary irreducible representation of the Poincar\'e group with non-negative mass-squared.

Published as SciPost Phys. Lect. Notes 30 (2021)

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