From Integrable Models to Conformal Field Theory Via Quantum Groups

  • L. D. Faddeev
Chapter
Part of the NATO ASI Series book series (ASIC, volume 409)

Abstract

In these lectures, which are a variant of ones given during the last year (see references), I present a historical development in the 1+1 dimensional integrable models, leading to the notion of quantum groups. I also give a modern exposition of this notion in the R-matrix language and explain a new application to Conformal Field Theory.

Keywords

Commutation Relation Quantum Group Conformal Field Theory Nonlinear Schrodinger Equation Auxiliary Space 
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References

  1. [1]
    L.D. Faddeev: Sov. Sci. Rev. Sec. C: Math. Phys. 1,107 (1980)MATHGoogle Scholar
  2. [2]
    A.G. Izergin, V.E. Korepin: Fisika Echaya, (JINR, Dubna) 13, 501 (1982).MathSciNetGoogle Scholar
  3. [3]
    P.P. Kulish, N.Yu. Reshetikhin: Zap. nauch. seminarov LOMI 101, 101 (1981) (in Russian)Google Scholar
  4. P.P. Kulish, N.Yu. Reshetikhin: J.Sov.Math. 23, 2435 (1983)CrossRefGoogle Scholar
  5. [4]
    L.D. Faddeev, L.A. Takhtajan: Lectures Notes in Physics 246 166 (1986)MathSciNetADSCrossRefGoogle Scholar
  6. [5]
    V.G. Drinfeld: Dokl. AN SSSR 273 531 (1883)MathSciNetGoogle Scholar
  7. [6]
    V.G. Drinfeld: Dokl. AN SSSR 283 1060 (1985)MathSciNetGoogle Scholar
  8. [7]
    V.G. Drinfeld: in Proc. ICM Berkeley,786 (1986)Google Scholar
  9. [8]
    M. Jimbo: Lett. Math. Phys. 11, 247 (1986).MathSciNetADSCrossRefMATHGoogle Scholar
  10. [9]
    L.D. Faddeev, N. Yu. Reshetikhin, L.A. Takhtajan: Algebra and Analysis 1, 178 (1989).MathSciNetGoogle Scholar
  11. [10]
    A.Yu. Alekseev, L. D. Faddeev: Commun. Math. Phys. 141, 413–422 (1991).MathSciNetADSCrossRefMATHGoogle Scholar
  12. [11]
    A. Alekeseev, L. Faddeev, M. Semenov-Tjan-Shansky, A. Volkov: preprint CERNTH-5981/91 (1991).Google Scholar
  13. [12]
    A. Alekeseev, L. Faddeev, M. Semenov-Tjan-Shansky: LOMI preprint E-5–91 (1991)Google Scholar
  14. [13]
    L. Faddeev: preprint HU-ITF 92–5 andGoogle Scholar
  15. [14]
    L. Faddeev, preprint SFB 922 N1 Berlin.Google Scholar

Copyright information

© Springer Science+Business Media Dordrecht 1993

Authors and Affiliations

  • L. D. Faddeev
    • 1
    • 2
  1. 1.St. Petersburg Branch of Steklov Mathematical InstituteSt. PetersburgRussia
  2. 2.Research Institute for Theoretical PhysicsUniversity of HelsinkiFinland

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