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

Rasmussen, Jorgen (2011) Classification of Kac representations in the logarithmic minimal models LM(1,p). Nuclear Physics B, 853 2: 404-435. doi:10.1016/j.nuclphysb.2011.07.026


Author Rasmussen, Jorgen
Title Classification of Kac representations in the logarithmic minimal models LM(1,p)
Journal name Nuclear Physics B   Check publisher's open access policy
ISSN 0550-3213
1873-1562
Publication date 2011-12-11
Year available 2011
Sub-type Article (original research)
DOI 10.1016/j.nuclphysb.2011.07.026
Open Access Status DOI
Volume 853
Issue 2
Start page 404
End page 435
Total pages 32
Place of publication Amsterdam, The Netherlands
Publisher Elsevier BV * North-Holland
Collection year 2012
Language eng
Subject 3106 Nuclear and High Energy Physics
Abstract 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.
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status Non-UQ

Document type: Journal Article
Sub-type: Article (original research)
Collection: School of Mathematics and Physics
 
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Created: Wed, 21 May 2014, 15:52:55 EST by Jorgen Rasmussen on behalf of School of Mathematics & Physics