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

by Xavier Bekaert and Nicolas Boulanger

Submission summary

As Contributors: Nicolas Boulanger
Preprint link: scipost_202012_00021v1
Date submitted: 2020-12-31 12:19
Submitted by: Boulanger, Nicolas
Submitted to: SciPost Physics Lecture Notes
Academic field: Physics
  • Representation Theory
  • 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.

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Submission scipost_202012_00021v1 on 31 December 2020

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