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Non-associative gauge theory and higher spin interactions

De Medeiros, Paul F. and Ramgoolam, Sanjaye 2005. Non-associative gauge theory and higher spin interactions. Journal of High Energy Physics 2005 (03) , 072. 10.1088/1126-6708/2005/03/072

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We give a framework to describe gauge theory on a certain class of commutative but non-associative fuzzy spaces. Our description is in terms of an abelian gauge connection valued in the algebra of functions on the cotangent bundle of the fuzzy space. The structure of such a gauge theory has many formal similarities with that of Yang-Mills theory. The components of the gauge connection are functions on the fuzzy space which transform in higher spin representations of the Lorentz group. In component form, the gauge theory describes an interacting theory of higher spin fields, which remains non-trivial in the limit where the fuzzy space becomes associative. In this limit, the theory can be viewed as a projection of an ordinary non-commutative Yang-Mills theory. We describe the embedding of Maxwell theory in this extended framework which follows the standard unfolding procedure for higher spin gauge theories.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Mathematics
Subjects: Q Science > QA Mathematics
Uncontrolled Keywords: Space-Time Symmetries; M(atrix) Theories; Non-Commutative Geometry
Publisher: IOP Science
ISSN: 1029-8479
Last Modified: 19 Mar 2016 23:07

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