Poincare' Quasi-Hopf Symmetry and Non-Associative Spacetime Algebra from Twisted Gauge Theories

Details Poincare' Quasi-Hopf Symmetry and Non-Associative Spacetime Algebra from Twisted Gauge Theories Poincare' Quasi-Hopf Symmetry and Non-Associative Spacetime Algebra from Twisted Gauge Theories

2009-03-03

arxiv.org/abs/0903.0478v3

Phys.Rev.D81:065006,2010

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, Presentation significantly improved, two new sections added. This version to appear in PRD

Scientific paper

10.1103/PhysRevD.81.065006

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 Poincar\'e quasi-Hopf . The associated spacetime algebra is hence non-associative.

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