Fusion algebras of logarithmic minimal models

DOI10.1088/1751-8113/40/45/013zbMath1129.81078arXiv0707.3189OpenAlexW2080763836MaRDI QIDQ5427736

No author found.

Publication date: 26 November 2007

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0707.3189

Mathematics Subject Classification ID

Virasoro and related algebras (17B68) Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10)

Related Items

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 ⋮ Graph fusion algebras of \({\mathcal WLM}((p,p')\) ⋮ Critical dense polymers with Robin boundary conditions, half-integer Kac labels and \(\mathbb{Z}_4\) fermions ⋮ Dimer representations of the Temperley-Lieb algebra ⋮ Conformal field theory at central charge \(c=0\): a measure of the indecomposability \((b)\) parameters ⋮ Bimodule structure of the mixed tensor product over \(\mathcal{U}_q s \ell(2 | 1)\) and quantum walled Brauer algebra ⋮ Coset graphs in bulk and boundary logarithmic minimal models ⋮ 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 ⋮ Fock space realisations of staggered modules in 2D logarithmic CFTs ⋮ Continuum limit and symmetries of the periodic \({\mathfrak g}\ell (1|1)\) spin chain ⋮ The ABC (in any D) of logarithmic CFT ⋮ A physical approach to the classification of indecomposable Virasoro representations from the blob algebra ⋮ Kazhdan-Lusztig equivalence and fusion of Kac modules in Virasoro logarithmic models ⋮ Indecomposability parameters in chiral logarithmic conformal field theory ⋮ Classification of Kac representations in the logarithmic minimal models \(LM(1,p)\) ⋮ Staggered and affine Kac modules over \(A_1^{(1)}\) ⋮ Logarithmic superconformal minimal models ⋮ On the reality of spectra ofU_q(sl₂)-invariant XXZ Hamiltonians ⋮ Polynomial fusion rings of W-extended logarithmic minimal models ⋮ Towards the construction of local logarithmic conformal field theories ⋮ \(\mathcal W\)-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 ⋮ Integrals of motion for critical dense polymers and symplectic fermions ⋮ Wind on the boundary for the Abelian sandpile model ⋮ Logarithmic Tensor Category Theory for Generalized Modules for a Conformal Vertex Algebra, I: Introduction and Strongly Graded Algebras and Their Generalized Modules ⋮ Fusion rules for the logarithmic \(N\)=1 superconformal minimal models. II: Including the Ramond sector