Massless finite and infinite spin representations of Poincar\'e group in six dimensions

Abstract

We study the massless irreducible representations of the Poincar\'e 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.

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