Generalization of the Coleman-Mandula Theorem to Higher Dimension

Details Generalization of the Coleman-Mandula Theorem to Higher Dimension Generalization of the Coleman-Mandula Theorem to Higher Dimension

1996-05-21

arxiv.org/abs/hep-th/9605147v1

J.Math.Phys. 38 (1997) 139-172

Physics

High Energy Physics

High Energy Physics - Theory

42 pages, Latex

Scientific paper

10.1063/1.531846

The Coleman-Mandula theorem, which states that space-time and internal symmetries cannot be combined in any but a trivial way, is generalized to an arbitrarily higher spacelike dimension. Prospects for further generalizations of the theorem (space-like representations, larger time-like dimension, infinite number of particle types) are also discussed. The original proof relied heavily on the Dirac formalism, which was not well defined mathematically at that time. The proof given here is based on the rigorous version of the Dirac formalism, based on the theory of distributions. This work serves also to demonstrate the suitability of this formalism for practical applications.

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