Journal article

Logarithmic superconformal minimal models

Paul A Pearce, Jorgen Rasmussen, Elena Tartaglia

Journal of Statistical Mechanics Theory and Experiment | IOP PUBLISHING LTD | Published : 2014

Abstract

The higher fusion level logarithmic minimal models LM(P; P'; n) have recently been constructed as the diagonal GKO cosets (A ) (A ) /(A ) where n ≥ 1 is an integer fusion level and k = nP/(P' - P) - 2 is a fractional level. For n = 1, these are the well-studied logarithmic minimal models LM(P, P') ≡ LM(P; P'; 1). For n = 2, we argue that these critical theories are realized on the lattice by n × n fusion of the n = 1 models. We study the critical fused lattice models LM(p, p') within a lattice approach and focus our study on the n = 2 models. We call these logarithmic superconformal minimal models LSM(p, p') ≡ LM(P, P'; 2) where P = |2p - p'|, P' = p' and p' p' are coprime. These models ..

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Grants

Awarded by Australian Research Council


Funding Acknowledgements

This work was supported by the Australian Research Council. JR was supported by the Australian Research Council under the Future Fellowship scheme, project number FT100100774. The authors than Alexi Morin-Duchesne and Adam Ong for discussions.