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

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5 Scopus citations


The observation that SU(3)/SU(2)≅S5 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)×SU(3)/SU(3). By reduction of SU(3)×U(1)/SU(2)×U(1) to SU(2)×U(1)/U(1), the construction gives a topological derivation of the WZW term for the standard model Higgs field.

Original languageEnglish
Article number065032
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Issue number6
StatePublished - Mar 31 2010

ASJC Scopus subject areas

  • Nuclear and High Energy Physics
  • Physics and Astronomy (miscellaneous)


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