Generalization of the Coleman{endash}Mandula theorem to higher dimension

Journal Article · Wed Jan 01 04:00:00 EST 1997 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.531846· OSTI ID:434294

Pelc, O ^[1]; Horwitz, L P ^[2]

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1. Racah Institute of Physics, The Hebrew University, Jerusalem, 91904 (Israel)
2. School of Natural Sciences, Institute for Advanced Study, Princeton, New Jersey 08540 (United States)

The Coleman{endash}Mandula theorem, which states that space{endash}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 (spacelike representations, larger timelike 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 also serves to demonstrate the suitability of this formalism for practical applications. {copyright} {ital 1997 American Institute of Physics.}

• OSTI ID: 434294
• Journal Information: Journal of Mathematical Physics, Journal Name: Journal of Mathematical Physics Journal Issue: 1 Vol. 38; ISSN JMAPAQ; ISSN 0022-2488
• Country of Publication: United States
• Language: English

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