Poincare' Quasi-Hopf Symmetry and Non-Associative Spacetime Algebra from Twisted Gauge Theories
arXiv:0903.0478 · doi:10.1103/PhysRevD.81.065006
Abstract
In previous work, starting from the Moyal plane, we formulated interacting theories of matter and gauge fields with only the former fields twisted. In this approach, gauge theories, including the standard model, can be formulated without new gauge degrees of freedom. We show their underlying symmetry algebra to be Poincaré quasi-Hopf . The associated spacetime algebra is hence non-associative.
12 pages, Presentation significantly improved, two new sections added. This version to appear in PRD
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