Realizations of Affine Lie Algebra $${A^{(1)}_1}$$ at Negative Levels
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Publication:5258868
DOI10.1007/978-3-642-55361-5_36zbMath1339.17018arXiv1405.0339OpenAlexW315672357WikidataQ57423604 ScholiaQ57423604MaRDI QIDQ5258868
Publication date: 24 June 2015
Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1405.0339
Cites Work
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- Lie superalgebras and irreducibility of \(A_1^{(1)}\)-modules at the critical level
- Fock representations of the affine Lie algebra \(A_ 1^{(1)}\)
- Classical affine algebras
- Realization of the basic representations of the Euclidean Lie algebras
- Basic representations of affine Lie algebras and dual resonance models
- Unitary representations of some infinite dimensional groups
- Construction of the affine Lie algebra \(A^{(1)}_1\)
- Generalized vertex algebras and relative vertex operators
- \(A^{(2)}_2\) parafermions: A new conformal field theory
- Higher level representations of the quantum affine algebra \(U_ q(\hat sl(2))\)
- \(W_3\)-algebra constructed from the \(\text{SU}(3)\) parafermion
- Level-one representations of the affine Lie algebra \(B^{(1)}_ n\)
- Parafermion vertex operator algebras
- Spinor representations of affine Lie algebras
- Spin and wedge representations of infinite-dimensional Lie algebras and groups
- Twisted parafermions
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