\(A^{(2)}_2\) parafermions: A new conformal field theory

DOI10.1016/S0550-3213(02)00335-8zbMath0996.81090arXivhep-th/0202031OpenAlexW2057555341MaRDI QIDQ1605021

Mark D. Gould, Yao-Zhong Zhang, Xiang Mao Ding

Publication date: 10 July 2002

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

Full work available at URL: https://arxiv.org/abs/hep-th/0202031

zbMATH Keywords

free field realizationsfree boson representationparafermionic algebra

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Finite-dimensional groups and algebras motivated by physics and their representations (81R05)

Related Items (2)

The \(Z^{(\mathrm{su}(2),3/2)}_k\) parafermions ⋮ Realizations of Affine Lie Algebra $${A^{(1)}_1}$$ at Negative Levels

Cites Work

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• \(W_3\)-algebra constructed from the \(\text{SU}(3)\) parafermion
• ‘‘Fractional statistics’’ in arbitrary dimensions: A generalization of the Pauli principle
• Twisted \(\text{sl}(3,\mathbb C)^{(2)}_k\) current algebra: free field representation and screening currents
• Twisted parafermions

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