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

Understand

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).