Alan Carey (Canberra):
Bundle gerbes of Chern Simons and Wess-Zumino-Witten
theories
The notions of Chern-Simons bundle 2-gerbes
and multiplicative bundle 1-gerbes associated to any
principal G-bundle with connection
and a class in H4(BG, Z) (G a compact semi-simple
Lie group) are used to refine
the Dijkgraaf-Witten correspondence
between three dimensional Chern-Simons gauge functionals
and Wess-Zumino-Witten models
associated to the group G.
We do this by introducing a
lifting to the level of bundle gerbes of the natural map from
H4(BG, Z) to H3(G, Z).