Topological boundary conditions in abelian Chern-Simons theory

Details Topological boundary conditions in abelian Chern-Simons theory Topological boundary conditions in abelian Chern-Simons theory

2010-08-03

arxiv.org/abs/1008.0654v2

Nucl.Phys.B845:393-435,2011

Physics

High Energy Physics

High Energy Physics - Theory

43 pages, latex

Scientific paper

10.1016/j.nuclphysb.2010.12.017

We study topological boundary conditions in abelian Chern-Simons theory and line operators confined to such boundaries. From a mathematical point of view, their relationships are described by a certain 2-category associated to an even integer-valued symmetric bilinear form (the matrix of Chern-Simons couplings). We argue that boundary conditions correspond to Lagrangian subgroups in the finite abelian group classifying bulk line operators (the discriminant group). We describe properties of boundary line operators; in particular we compute the boundary associator. We also study codimension one defects (surface operators) in abelian Chern-Simons theories. As an application, we obtain a classification of such theories up to isomorphism, in general agreement with the work of Belov and Moore.

Affiliated with

Also associated with

No associations

Rating

Topological boundary conditions in abelian Chern-Simons theory 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 Topological boundary conditions in abelian Chern-Simons theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Topological boundary conditions in abelian Chern-Simons theory will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-81909