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Quantum groups as symmetries of chiral conformal algebras

  • VI. Quantum Groups and Symmetries in Quantum Field Theory
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Quantum Groups

Part of the book series: Lecture Notes in Physics ((LNP,volume 370))

Abstract

Work in progress with D. Buchholz, I. Frenkel and G. Mack and with L. Hadjiivanov and R. Paunov is previewed. A quantum internal symmetry of a minimal chiral conformal model is introduced in such a way that the overall (product) representation of the braid group is trivialized. As an introduction we review (in Secs.1 and 2) basic facts about 2-dimensional conformal QFT and about the quantum enveloping algebra U q - U q(sl(2)) and its finite dimensional representations (for qp = -1).

Unité de Recherche des Universités Paris XI et Paris VI Associée au C.N.R.S.

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Authors and Affiliations

  1. Division de Physique Théorique, Institut de Physique Nucléaire, B.P. N°, 1 - 91406, Orsay Cedex, France

    Ivan T. Todorov

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  1. Ivan T. Todorov
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H. -D. Doebner J. -D. Hennig

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© 1990 Springer-Verlag

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Todorov, I.T. (1990). Quantum groups as symmetries of chiral conformal algebras. In: Doebner, H.D., Hennig, J.D. (eds) Quantum Groups. Lecture Notes in Physics, vol 370. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-53503-9_49

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  • DOI: https://doi.org/10.1007/3-540-53503-9_49

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  • Online ISBN: 978-3-540-46647-5

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