Coset graphs in bulk and boundary logarithmic minimal models

Pearce, Paul A. and Rasmussen, Jorgen (2011) Coset graphs in bulk and boundary logarithmic minimal models. Nuclear Physics B, 846 3: 616-649. doi:10.1016/j.nuclphysb.2011.01.014

Author Pearce, Paul A.
Rasmussen, Jorgen
Title Coset graphs in bulk and boundary logarithmic minimal models
Journal name Nuclear Physics B   Check publisher's open access policy
ISSN 0550-3213
Publication date 2011-05-21
Sub-type Article (original research)
DOI 10.1016/j.nuclphysb.2011.01.014
Open Access Status DOI
Volume 846
Issue 3
Start page 616
End page 649
Total pages 24
Place of publication Amsterdam, The Netherlands
Publisher Elsevier
Collection year 2012
Language eng
Formatted abstract
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 Ap(2) and their coset graphs Ap,p'(2)=Ap(2)⊗Ap'(2)/Z2. 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
Keyword Conformal field theory
Conformal Field-theory
Invariant Partition-functions
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status Non-UQ

Document type: Journal Article
Sub-type: Article (original research)
Collections: School of Mathematics and Physics
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Citation counts: TR Web of Science Citation Count  Cited 11 times in Thomson Reuters Web of Science Article | Citations
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Created: Wed, 14 Mar 2012, 11:04:34 EST by Kay Mackie on behalf of School of Mathematics & Physics