\(\mathcal W\)-extended logarithmic minimal models

DOI10.1016/j.nuclphysb.2008.07.029zbMath1192.81303arXiv0805.2991OpenAlexW2026477740MaRDI QIDQ985807

J. Martínez

Publication date: 6 August 2010

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0805.2991

zbMATH Keywords

continuum scaling limitfusion rulesYang-Baxter integrable logarithmic minimal models

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Quantum field theory on lattices (81T25) Groups and algebras in quantum theory and relations with integrable systems (81R12)

Related Items (16)

Fusion rules for the logarithmicN= 1 superconformal minimal models: I. The Neveu–Schwarz sector ⋮ Graph fusion algebras of \({\mathcal WLM}((p,p')\) ⋮ Critical dense polymers with Robin boundary conditions, half-integer Kac labels and \(\mathbb{Z}_4\) fermions ⋮ Coset graphs in bulk and boundary logarithmic minimal models ⋮ The ABC (in any D) of logarithmic CFT ⋮ A physical approach to the classification of indecomposable Virasoro representations from the blob algebra ⋮ Modular transformations and Verlinde formulae for logarithmic (\(p_+,p_-\))-models ⋮ Classification of Kac representations in the logarithmic minimal models \(LM(1,p)\) ⋮ Logarithmic superconformal minimal models ⋮ Staggered modules of \(N = 2\) superconformal minimal models ⋮ Polynomial fusion rings of W-extended logarithmic minimal models ⋮ Lusztig limit of quantum \(s\ell (2)\) at root of unity and fusion of (1,p) Virasoro logarithmic minimal models ⋮ Boundary algebras and Kac modules for logarithmic minimal models ⋮ On \(\mathcal W\)-algebra extensions of \((2,p)\) minimal models: \(p>3\) ⋮ Logarithmic Tensor Category Theory for Generalized Modules for a Conformal Vertex Algebra, I: Introduction and Strongly Graded Algebras and Their Generalized Modules ⋮ An explicit realization of logarithmic modules for the vertex operator algebra $\mathcal {W}_{p,p^{\prime }}$Wp,p′

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