Fusion rings for degenerate minimal models.

DOI10.1016/S0021-8693(02)00096-0zbMath1037.17035arXivmath/0003225MaRDI QIDQ1858168

Antun Milas

Publication date: 12 February 2003

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0003225

zbMATH Keywords

vertex operator algebrassuperalgebraminimal modelfusion ringconformal algebra

Mathematics Subject Classification ID

Virasoro and related algebras (17B68) Vertex operators; vertex operator algebras and related structures (17B69) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10)

Related Items (21)

Characterizations of the vertex operator algebras \(V_L^T\) and \(V_L^O\) ⋮ Fusion rules for the logarithmicN= 1 superconformal minimal models: I. The Neveu–Schwarz sector ⋮ The \(N = 1\) triplet vertex operator superalgebras ⋮ Characters of Modules of Irrational Vertex Algebras ⋮ A Characterization of the Vertex Operator Algebra $$V _{L_{2}}^{A_{4}}$$ ⋮ An \(\mathfrak{sl}_2\)-type tensor category for the Virasoro algebra at central charge 25 and applications ⋮ On the tensor structure of modules for compact orbifold vertex operator algebras ⋮ Fusion rules for the Virasoro algebra of central charge 25 ⋮ A characterization of the rational vertex operator algebra \(V_{\mathbb Z{\alpha}}^+\). II ⋮ Logarithmic intertwining operators and W(2,2p−1) algebras ⋮ Application of vertex algebras to the structure theory of certain representations over the Virasoro algebra ⋮ Tensor categories arising from the Virasoro algebra ⋮ Logarithmic intertwining operators and vertex operators ⋮ False theta functions and the Verlinde formula ⋮ On the triplet vertex algebra \(\mathcal W(p)\) ⋮ Characters, supercharacters and Weber modular functions ⋮ A characterization of vertex operator algebra \({L(\frac{1}{2},0)\otimes L(\frac{1}{2},0)}\) ⋮ C 2-Cofinite $\mathcal{W}$-Algebras and Their Logarithmic Representations ⋮ Lattice construction of logarithmic modules for certain vertex algebras ⋮ Quantum dimensions and quantum Galois theory ⋮ Fusion rules of Virasoro vertex operator algebras

Cites Work

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