Classification of Kac representations in the logarithmic minimal models LM(1,p)

Details Classification of Kac representations in the logarithmic minimal models LM(1,p) Classification of Kac representations in the logarithmic minimal models LM(1,p)

2010-12-23

arxiv.org/abs/1012.5190v2

Nucl.Phys.B853:404-435,2011

Physics

High Energy Physics

High Energy Physics - Theory

31 pages, v2: comments, subsection and references added

Scientific paper

10.1016/j.nuclphysb.2011.07.026

For each pair of positive integers r,s, there is a so-called Kac representation (r,s) associated with a Yang-Baxter integrable boundary condition in the lattice approach to the logarithmic minimal model LM(1,p). We propose a classification of these representations as finitely-generated submodules of Feigin-Fuchs modules, and present a conjecture for their fusion algebra which we call the Kac fusion algebra. The proposals are tested using a combination of the lattice approach and applications of the Nahm-Gaberdiel-Kausch algorithm. We also discuss how the fusion algebra may be extended by inclusion of the modules contragredient to the Kac representations, and determine polynomial fusion rings isomorphic to the conjectured Kac fusion algebra and its contragredient extension.

Affiliated with

Also associated with

No associations

Rating

Classification of Kac representations in the logarithmic minimal models LM(1,p) 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 Classification of Kac representations in the logarithmic minimal models LM(1,p), we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Classification of Kac representations in the logarithmic minimal models LM(1,p) will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-296701