The new results on lattice deformation of current algebra

  • L. D. Faddeev
  • A. Yu. Volkov
Conference paper
Part of the Lecture Notes in Physics book series (LNP, volume 436)


The topic “Quantum Integrable Models” was reviewed in the literature and presented to the conferences and schools many times. Only the reports of our own have been done on quite a few occasions (see, e.g., [1], [2]). So here we shall try to present a fresh approach to the description of the ingredients of construction of integrable models. It has gradually evolved in the process of our joint work. Whereas our goal was the Sugawara construction for the lattice affine algebra (known now as the St.Petersburg algebra), (see, e.g., [1]), some technical developments happen to be new and useful for the already developed subjects. Here we shall underline this development.


Poisson Bracket Current Algebra Canonical Pair Lattice Analogue WZNW Model 
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Copyright information

© Springer-Verlag 1994

Authors and Affiliations

  • L. D. Faddeev
    • 1
  • A. Yu. Volkov
    • 2
  1. 1.Steklov Mathematical InstituteSt.PetersburgRussia
  2. 2.Physique - Mathématique, Université de BourgogneDijonFrance

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