Massless finite and infinite spin representations of Poincaré group in six dimensions

Nov 30, 2020
15 pages
Published in:
  • Phys.Lett.B 813 (2021) 136064
  • Published: Feb 10, 2021
e-Print:

Citations per year

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Abstract: (Elsevier)
We study the massless irreducible representations of the Poincaré group in the six-dimensional Minkowski space. The Casimir operators are constructed and their eigenvalues are found. It is shown that the finite spin (helicity) representation is defined by two integer or half-integer numbers while the infinite spin representation is defined by the real parameter μ2 and one integer or half-integer number.
Note:
  • v3: 1+15 pages, minor revision, published version
  • Massless representations
  • Helicity
  • Infinite spin representations
  • Casimir operators
  • spin: representation
  • dimension: 6
  • Poincare