Journal article
Logarithmic minimal models with Robin boundary conditions
JE Bourgine, PA Pearce, E Tartaglia
Journal of Statistical Mechanics Theory and Experiment | IOP PUBLISHING LTD | Published : 2016
Abstract
We consider general logarithmic minimal models LM(p,p'), with p, p' coprime, on a strip of N columns with the (r, s) Robin boundary conditions introduced by Pearce, Rasmussen and Tipunin. On the lattice, these models are Yang-Baxter integrable loop models that are described algebraically by the one-boundary Temperley-Lieb algebra. The (r, s) Robin boundary conditions are a class of integrable boundary conditions satisfying the boundary Yang- Baxter equations which allow loop segments to either reflect or terminate on the boundary. The associated conformal boundary conditions are organized into infinitely extended Kac tables labelled by the Kac labels r ∈ Z and s ∈ N. The Robin vacuum boundar..
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Awarded by UniTo-SanPaolo research grant
Awarded by ESF Network 'Holographic methods for strongly coupled systems' (HoloGrav)
Awarded by MPNS-COST Action
Funding Acknowledgements
This work was initiated at the Asia Pacific Center for Theoretical Physics (APCTP). JEB acknowledges the Korea Ministry of Education, Science and Technology (MEST) for the support of the Young Scientist Training Program. He further thanks INFN for his post-doctoral fellowship within the grant GAST, which has also partially supported this project, together with the UniTo-SanPaolo research grant number TO-Call3-2012-0088 'Modern Applications of String Theory' (MAST), the ESF Network 'Holographic methods for strongly coupled systems' (HoloGrav) (09-RNP-092 (PESC)) and the MPNS-COST Action MP1210. PAP thanks the APCTP for kind hospitality and the ICTP for support through a Visiting Scholar Award at APCTP. ET is supported by an Australian Postgraduate Award. We thank Jorgen Rasmussen and David Ridout for comments on the manuscript.