Local quantum field theories involving the \(\mathrm{U}(1)\) current algebra on the circle

DOI10.1007/BF00401588zbMath0693.17011MaRDI QIDQ584373

Roman R. Paunov, Ivan T. Todorov

Publication date: 1989

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

representationscurrent algebraquasilocal algebrasoluble two-dimensional conformal modelsThirring fieldZamolodchikov-Fateev `parafermionic' current

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Applications of Lie (super)algebras to physics, etc. (17B81) General quantum mechanics and problems of quantization (81S99)

Cites Work

• Operator content of two-dimensional conformally invariant theories
• Unitary representations of the Virasoro and super-Virasoro algebras
• The A-D-E classification of minimal and \(A_ 1^{(1)}\) conformal invariant theories
• Infinite conformal symmetry in two-dimensional quantum field theory
• Current algebras and Wess-Zumino model in two dimensions
• An elucidation of Infinite-dimensional algebras\dots and the very strange formula. \(E^{(1)}_8\) and the cube root of the modular invariant j

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