Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2010-10-26
Nucl.Phys.B846:616-649,2011
Physics
High Energy Physics
High Energy Physics - Theory
33 pages, v2: comments and references added, v3: minor corrections
Scientific paper
10.1016/j.nuclphysb.2011.01.014
The logarithmic minimal models are not rational but, in the W-extended picture, they resemble rational conformal field theories. We argue that the W-projective representations are fundamental building blocks in both the boundary and bulk description of these theories. In the boundary theory, each W-projective representation arising from fundamental fusion is associated with a boundary condition. Multiplication in the associated Grothendieck ring leads to a Verlinde-like formula involving A-type twisted affine graphs A^{(2)}_{p} and their coset graphs A^{(2)}_{p,p'}=A^{(2)}_{p} x A^{(2)}_{p'}/Z_2. This provides compact formulas for the conformal partition functions with W-projective boundary conditions. On the torus, we propose modular invariant partition functions as sesquilinear forms in W-projective and rational minimal characters and observe that they are encoded by the same coset fusion graphs.
Pearce Paul A.
Rasmussen Jorgen
No associations
LandOfFree
Coset Graphs in Bulk and Boundary Logarithmic Minimal Models 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 Coset Graphs in Bulk and Boundary Logarithmic Minimal Models, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Coset Graphs in Bulk and Boundary Logarithmic Minimal Models will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-159193