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On the “Drinfeld-Sokolov” Reduction of the Knizhnik-Zamolodchikov Equation

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Low-Dimensional Topology and Quantum Field Theory

Part of the book series: NATO ASI Series ((NSSB,volume 315))

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Abstract

Even though the Hamiltonian reduction of two dimensional integrable and conformal theories has been a focus of much attention lately [1] the quantum aspect of the problem is in a more undeveloped stage. It has been shown that the space of states of a WZW model based on a KM algebra ĝ reduces to the space of states of a minimal W g -model [2]. A complete quantum theory is specified by giving not only the space of physical states but also the field operators acting on it, or equivalently all correlators. The study of the reduction of the full quantum WZW model (for the case of g = sl(2)) has been initiated by us — [3] and its detailed version [4]. In [5] two of us have pursued further the question — how do the differential equations and relations governing the correlators relate. This report is a survey of the results of [3–5].

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Author information

Authors and Affiliations

  1. Istituto Nazionale di Fisica Nucleare, Sezione di Trieste, Italy

    P. Furlan

  2. Dipartimento di Fisica Teorica, Universitá di Trieste, Trieste, Italy

    A. Ch. Ganchev

  3. Institute for Nuclear Research and Nuclear Energy, Sofia, 1784, Bulgaria

    R. Paunov

  4. International School for Advanced Studies, via Beirut 2, 34014, Trieste, Italy

    V. B. Petkova

Authors
  1. P. Furlan
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  2. A. Ch. Ganchev
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  3. R. Paunov
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  4. V. B. Petkova
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Editor information

Editors and Affiliations

  1. University of Cambridge, Cambridge, UK

    Hugh Osborn

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© 1993 Springer Science+Business Media New York

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Furlan, P., Ganchev, A.C., Paunov, R., Petkova, V.B. (1993). On the “Drinfeld-Sokolov” Reduction of the Knizhnik-Zamolodchikov Equation. In: Osborn, H. (eds) Low-Dimensional Topology and Quantum Field Theory. NATO ASI Series, vol 315. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-1612-9_11

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  • DOI: https://doi.org/10.1007/978-1-4899-1612-9_11

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4899-1614-3

  • Online ISBN: 978-1-4899-1612-9

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