Kazhdan-Lusztig equivalence and fusion of Kac modules in Virasoro logarithmic models

DOI10.1016/j.nuclphysb.2012.04.018zbMath1246.81316arXiv1102.0271OpenAlexW2007212649MaRDI QIDQ447395

I. Yu. Tipunin, P. V. Bushlanov, Azat M. Gainutdinov

Publication date: 3 September 2012

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

Full work available at URL: https://arxiv.org/abs/1102.0271

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Vertex operators; vertex operator algebras and related structures (17B69) Electromagnetic interaction; quantum electrodynamics (81V10)

Related Items (16)

Fusion rules for the logarithmicN= 1 superconformal minimal models: I. The Neveu–Schwarz sector ⋮ The periodic \(s(2|1)\) alternating spin chain and its continuum limit as a bulk logarithmic conformal field theory at \(c = 0\) ⋮ Log-modular quantum groups at even roots of unity and the quantum Frobenius I ⋮ Renormalized Hennings invariants and \(2+1\)-TQFTs ⋮ Fusion in the entwined category of Yetter-Drinfeld modules of a rank-1 Nichols algebra ⋮ Critical dense polymers with Robin boundary conditions, half-integer Kac labels and \(\mathbb{Z}_4\) fermions ⋮ Bimodule structure of the mixed tensor product over \(\mathcal{U}_q s \ell(2 | 1)\) and quantum walled Brauer algebra ⋮ Associative algebraic approach to logarithmic CFT in the bulk: the continuum limit of the \(\mathfrak{gl}(1|1)\) periodic spin chain, Howe duality and the interchiral algebra ⋮ A physical approach to the classification of indecomposable Virasoro representations from the blob algebra ⋮ Higher genus mapping class group invariants from factorizable Hopf algebras ⋮ Classification of Kac representations in the logarithmic minimal models \(LM(1,p)\) ⋮ Staggered and affine Kac modules over \(A_1^{(1)}\) ⋮ On the representation theory of the infinite Temperley–Lieb algebra ⋮ Representations of U¯qsℓ(2|1) at even roots of unity ⋮ Boundary algebras and Kac modules for logarithmic minimal models ⋮ Some remarks on the unrolled quantum group of \(\mathfrak{sl}(2)\)

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