Parafermionic character formulae.

DOI10.1016/S0550-3213(00)00454-5zbMath1043.81567arXivhep-th/0006233OpenAlexW3100765734MaRDI QIDQ5933249

Patrick Jacob, Pierre Mathieu

Publication date: 14 May 2001

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

Full work available at URL: https://arxiv.org/abs/hep-th/0006233

zbMATH Keywords

\(Z_N\) modelsCharacterConformal field theoryParafermionsSingular vectors

Mathematics Subject Classification ID

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)

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Fermionic characters for graded parafermions ⋮ Higher string functions, higher-level Appell functions, and the logarithmic \(\widehat{\mathrm{sl}}(2)_k/u(1)\) CFT model ⋮ A quasi-particle description of the \(\mathcal M(3,p)\) models ⋮ Paths for \({\mathcal{Z}}_k\) parafermionic models ⋮ Permutation orbifolds of N=2 supersymmetric minimal models ⋮ Paths and partitions: Combinatorial descriptions of the parafermionic states ⋮ Quantum groups and non-Abelian braiding in quantum Hall systems ⋮ Parafermionic quasi-particle basis and fermionic-type characters ⋮ Twisted parafermions ⋮ Non-Abelian anyons and topological quantum computation ⋮ Graded parafermions: Standard and quasiparticle bases

Cites Work

• Conformal field theory
• The structure of standard modules. I: Universal algebras and the Rogers- Ramanujan identities
• Infinite-dimensional Lie algebras, theta functions and modular forms
• The operator algebra of orbifold models
• Probing integrable perturbations of conformal theories using singular vectors
• Structure of the Standard Modules for the Affine Lie Algebra 𝐴⁽¹⁾₁

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