(2,0) theory on Taub-NUT: A note on WZW models on singular fibrations

Understand

In this note we consider the gauge field equation of motion for the dimensional reduction of the (2,0) tensor multiplet on singular circle fibrations.

• The fibrations are characterized by the corresponding U(1) action having a codimension four fixed point locus W.
• Along W, the dimensional reduction of the (2,0) receives a modification described by a WZW model.
• We consider the emergence of the additional degrees of freedom through the topological term in the action, which in addition to the gauge field strength involves the U(1) connection of the space-time fibration.