Fusion hierarchies,T-systems, andY-systems of logarithmic minimal models
نویسندگان
چکیده
منابع مشابه
Fusion Algebras of Logarithmic Minimal Models
We present explicit conjectures for the chiral fusion algebras of the logarithmic minimal models LM(p, p ′) considering Virasoro representations with no enlarged or extended symmetry algebra. The generators of fusion are countably infinite in number but the ensuing fusion rules are quasi-rational in the sense that the fusion of a finite number of representations decomposes into a finite direct ...
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The countably infinite number of Virasoro representations of the logarithmic minimal model LM(p, p′) can be reorganized into a finite number of W-representations with respect to the extended Virasoro algebra symmetry W. Using a lattice implementation of fusion, we recently determined the fusion algebra of these representations and found that it closes, albeit without an identity for p > 1. Here...
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We define minimal fusion systems in a way that every non-solvable fusion system has a section which is minimal. Minimal fusion systems can also be seen as analogs of Thompson’s N-groups. In this thesis, we consider a minimal fusion system F on a finite p-group S that has a unique maximal p-local subsystem containing NF(S). For an arbitrary prime p, we determine the structure of a certain (expli...
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In this paper, we use parametric form of fuzzy number and we converta fuzzy linear system to two linear system in crisp case. Conditions for the existence of a minimal solution to $mtimes n$ fuzzy linear equation systems are derived and a numerical procedure for calculating the minimal solution is designed. Numerical examples are presented to illustrate the proposed method.
متن کاملLogarithmic Minimal Models
Working in the dense loop representation, we use the planar Temperley-Lieb algebra to build integrable lattice models called logarithmic minimal models LM(p, p′). Specifically, we construct Yang-Baxter integrable Temperley-Lieb models on the strip acting on link states and consider their associated Hamiltonian limits. These models and their associated representations of the Temperley-Lieb algeb...
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ژورنال
عنوان ژورنال: Journal of Statistical Mechanics: Theory and Experiment
سال: 2014
ISSN: 1742-5468
DOI: 10.1088/1742-5468/2014/05/p05012