Parafermionic representation of the affine \(\text{s}\widehat{\text{l}}(2|1;{\mathbb{C}})\) algebra at fractional level
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Publication:5934717
DOI10.1016/S0370-2693(99)01251-4zbMath0987.81036arXivhep-th/9803024MaRDI QIDQ5934717
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Publication date: 7 May 2001
Published in: Physics Letters. B (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/hep-th/9803024
Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) 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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Cites Work
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- Current algebras and Wess-Zumino model in two dimensions
- The operator algebra of orbifold models
- Representation theory of the affine Lie superalgebra \(\widehat {sl}(2/1;C)\) at fractional level
- Characters of admissible representations of the affine superalgebra \(\widehat{\text{sl}}(2|1;{\mathbb{C}})_k\)
- Admissible \(\widehat{\text{sl}}(2|1;{\mathbb{C}})_k\) characters and parafermions
- New Jacobi-like identities for \(\mathbb{Z}_ K\) parafermion characters
- \(\widehat{\text{sl}}(2|1)\) and \(\widehat{D}(2|1;\alpha)\) as vertex operator extensions of dual affine sl(2) algebras
