Event

Talk
Deligne cohomology, the B-field, and variational problems
15 May 2006, 14:00 – 15:00

I will explain how Deligne cohomology generalizes classical gauge theory with abelian structure groups. Such higher degree gauge theories occur e.g. in string theory: The B-field is an example of a higher connection with curvature 3-form H, the field strength. The B-field contribution to the effective string action is actually its holonomy. It will be shown how Deligne cohomology gives rise to functionals whose critical points are (immersions of) submanifolds with prescribed mean curvature.

Related to:

• Christian Bär