SU(3)/SU(2): the simplest Wess-Zumino-Witten term

Details SU(3)/SU(2): the simplest Wess-Zumino-Witten term SU(3)/SU(2): the simplest Wess-Zumino-Witten term

2009-10-20

arxiv.org/abs/0910.3680v2

Phys.Rev.D81:065032,2010

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, 1 figure; references added

Scientific paper

10.1103/PhysRevD.81.065032

The observation that SU(3)/SU(2) ~ S^5 implies the existence of a particularly simple quantized topological action, or Wess-Zumino-Witten (WZW) term. This action plays an important role in anomaly cancellation in extensions of the Standard Model electroweak sector. A closed form is presented for the action coupled to arbitrary gauge fields. The action is shown to be equivalent to a limit of the WZW term for SU(3) x SU(3) / SU(3). By reduction of SU(3) x U(1) / SU(2) x U(1) to SU(2) x U(1) / U(1), the construction gives a topological derivation of the WZW term for the Standard Model Higgs field.

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