Logarithmic minimal models, their logarithmic couplings, and duality
نویسندگان
چکیده
منابع مشابه
Logarithmic 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...
متن کاملLogarithmic limits of minimal models
It is discussed how a limiting procedure of (super)conformal field theories may result in logarithmic (super)conformal field theories. The construction is illustrated by logarithmic limits of (unitary) minimal models in conformal field theory (CFT) and in N = 1 superconformal field theory. The resulting infinite family of logarithmic models may be seen as belonging to the boundary of the set of...
متن کاملW-Extended Logarithmic Minimal Models
We consider the continuum scaling limit of the infinite series of Yang-Baxter integrable logarithmic minimal models LM(p, p′) as ‘rational’ logarithmic conformal field theories with extendedW symmetry. The representation content is found to consist of 6pp′ − 2p− 2p′ W-indecomposable representations of which 2p+2p′ − 2 are of rank 1, 4pp′ − 2p− 2p′ are of rank 2, while the remaining 2(p− 1)(p′ −...
متن کاملGeometric Exponents, SLE and Logarithmic Minimal Models
In statistical mechanics, observables are usually related to local degrees of freedom such as the Q < 4 distinct states of theQ-state Potts models or the heights of the restricted solid-on-solid models. In the continuum scaling limit, these models are described by rational conformal field theories, namely the minimal models M(p, p ′) for suitable p, p ′. More generally, as in stochastic Loewner...
متن کاملFusion 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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ژورنال
عنوان ژورنال: Nuclear Physics B
سال: 2008
ISSN: 0550-3213
DOI: 10.1016/j.nuclphysb.2008.02.017