Abelian and non-Abelian branes in WZW models and gerbes

Details Abelian and non-Abelian branes in WZW models and gerbes Abelian and non-Abelian branes in WZW models and gerbes

2004-06-08

arxiv.org/abs/hep-th/0406072v1

Commun.Math.Phys. 258 (2005) 23-73

Physics

High Energy Physics

High Energy Physics - Theory

59 pages, latex, 1 incorporated figure

Scientific paper

10.1007/s00220-005-1301-1

We discuss how gerbes may be used to set up a consistent Lagrangian approach to the WZW models with boundary. The approach permits to study in detail possible boundary conditions that restrict the values of the fields on the worldsheet boundary to brane submanifolds in the target group. Such submanifolds are equipped with an additional geometric structure that is summarized in the notion of a gerbe module and includes a twisted Chan-Paton gauge field. Using the geometric approach, we present a complete classification of the branes that conserve the diagonal current-algebra symmetry in the WZW models with simple, compact but not necessarily simply connected target groups. Such symmetric branes are supported by a discrete series of conjugacy classes in the target group and may carry Abelian or non-Abelian twisted gauge fields. The latter situation occurs for the conjugacy classes with fundamental group Z_2\times Z_2 in SO(4n)/Z_2. The branes supported by such conjugacy classes have to be equipped with a projectively flat twisted U(2) gauge field in one of the two possible WZW models differing by discrete torsion. We show how the geometric description of branes leads to explicit formulae for the boundary partition functions and boundary operator product coefficients in the WZW models with non-simply connected target groups.

Affiliated with

Also associated with

No associations

Rating

Abelian and non-Abelian branes in WZW models and gerbes does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Abelian and non-Abelian branes in WZW models and gerbes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Abelian and non-Abelian branes in WZW models and gerbes will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-719344