Elliptic Wess-Zumino-Witten model from elliptic Chern-Simons theory

DOI10.1007/BF00398317zbMath0854.53060arXivhep-th/9502161MaRDI QIDQ1924266

Fernando Falceto, Krzysztof Gawędzki

Publication date: 14 October 1996

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

Full work available at URL: https://arxiv.org/abs/hep-th/9502161

zbMATH Keywords

Bethe ansatzChern-Simons theoryscalar product of statesWZW conformal blocks

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Yang-Mills and other gauge theories in quantum field theory (81T13) Applications of differential geometry to physics (53Z05)

Related Items (4)

Unitarity of the Knizhnik-Zamolodchikov-Bernard connection and the Bethe Ansatz for the elliptic Hitchin systems ⋮ Kraichnan flow in a square: An example of integrable chaos ⋮ When does a three-dimensional Chern-Simons-Witten theory have a time reversal symmetry? ⋮ Chern-Simons theory and BCS superconductivity

Cites Work

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• The A-D-E classification of minimal and \(A_ 1^{(1)}\) conformal invariant theories
• Current algebras and Wess-Zumino model in two dimensions
• Quantum field theory and the Jones polynomial
• Chern-Simons states at genus one
• Representations of affine Lie algebras, parabolic differential equations, and Lamé functions
• \(SU(2)\) WZW theory at higher genera
• Coulomb gas representation of the \(SU(2) WZW\) correlators at higher genera
• On the affine analogue of Jack and Macdonald polynomials
• Conformal blocks on elliptic curves and the Knizhnik-Zamolodchikov-Bernard equations
• Spherical functions on affine Lie groups
• Flat connections and geometric quantization
• Off-shell Bethe ansatz equations and N-point correlators in the SU(2) WZNW theory
• Geometry of Wess-Zumino-Witten models of conformal field theory

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