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

DOI10.1016/S0550-3213(97)00250-2zbMath0934.81011arXivhep-th/9611225OpenAlexW1660996784MaRDI QIDQ1358751

John Manolis Smyrnakis

Publication date: 18 June 1997

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

Full work available at URL: https://arxiv.org/abs/hep-th/9611225

zbMATH Keywords

integral representationsconformal blocksSU(2) WZW modelKac Moody algebrasmodular transformation matricestwo punctured torus

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Applications of Lie (super)algebras to physics, etc. (17B81) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10)

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Cites Work

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• Braids, Links, and Mapping Class Groups. (AM-82)