Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2008-12-05
J.Math.Phys.50:043512,2009
Physics
High Energy Physics
High Energy Physics - Theory
48 pages
Scientific paper
10.1063/1.3093265
The countably infinite number of Virasoro representations of the logarithmic minimal model LM(p,p') can be reorganized into a finite number of W-representations with respect to the extended Virasoro algebra symmetry W. Using a lattice implementation of fusion, we recently determined the fusion algebra of these representations and found that it closes, albeit without an identity for p>1. Here, we provide a fusion-matrix realization of this fusion algebra and identify a fusion ring isomorphic to it. We also consider various extensions of it and quotients thereof, and introduce and analyze commutative diagrams with morphisms between the involved fusion algebras and the corresponding quotient polynomial fusion rings. One particular extension is reminiscent of the fundamental fusion algebra of LM(p,p') and offers a natural way of introducing the missing identity for p>1. Working out explicit fusion matrices is facilitated by a further enlargement based on a pair of mutual Moore-Penrose inverses intertwining between the W-fundamental and enlarged fusion algebras.
No associations
LandOfFree
Polynomial fusion rings of W-extended 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 Polynomial fusion rings of W-extended logarithmic minimal models, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Polynomial fusion rings of W-extended logarithmic minimal models will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-365023