Conformal Field Theory and Integrable Systems Associated to Elliptic Curves

Giovanni Felder
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Giovanni Felder: ETH-Zentrum, Forschungsinstitut für Mathematik

A chapter in Proceedings of the International Congress of Mathematicians, 1995, pp 1247-1255 from Springer

Abstract: Abstract It has become clear over the years that quantum groups (i.e., quasitriangular Hopf algebras, see [D]) and their semiclassical counterpart, Poisson Lie groups, are an essential algebraic structure underlying three related subjects: integrable models of statistical mechanics, conformal field theory, and integrable models of quantum field theory in 1+1 dimensions. Still, some points remain obscure from the point of view of Hopf algebras. In particular, integrable models associated with elliptic curves are still poorly understood. We propose her an elliptic version of quantum groups, based on the relation to conformal field theory, which hopefully will be helpful to complete the picture.

Date: 1995
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-0348-9078-6_119

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DOI: 10.1007/978-3-0348-9078-6_119

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