Two-point spin-\(1/2\)-spin-\(1/2\) \(sl(2,\mathbb{C})\) conformal Kac-Moody blocks on the torus and their monodromies

DOI10.1016/0550-3213(95)00314-IzbMath0925.17030OpenAlexW2033597309MaRDI QIDQ1898646

John Manolis Smyrnakis

Publication date: 20 September 1995

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

Full work available at URL: https://doi.org/10.1016/0550-3213(95)00314-i

zbMATH Keywords

integral representationstringsfree field representationBraid group representation

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) 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)

Related Items (1)

Representations of the mapping class group of the two-punctured torus on the space of \(\widehat{\text{sl}}(2,\mathbb{C})\) spin-{1}/{2}-spin-{1}/{2} Kac-Moody blocks

Cites Work

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• Modular covariance of minimal model correlation functions
• Non-Abelian bosonization in two dimensions
• Fock representations and BRST cohomology in \(\mathrm{SL}(2)\) current algebra
• Fock representations of the affine Lie algebra \(A_ 1^{(1)}\)
• \(c=I\) conformal field theories on Riemann surfaces
• Current algebras and Wess-Zumino model in two dimensions
• Hecke algebras of type \(A_ n\) and subfactors
• Generalized hypergeometric functions on the torus and the adjoint representation of \(U_ q(sl_ 2)\)
• On braid groups

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