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Communications in Mathematical Physics

, Volume 219, Issue 1, pp 199–219 | Cite as

Strongly Coupled Quantum Discrete Liouville Theory.¶I: Algebraic Approach and Duality

  • L. D. Faddeev
  • R. M. Kashaev
  • A. Yu. Volkov

Abstract:

The quantum discrete Liouville model in the strongly coupled regime, 1 < c < 25, is formulated as a well defined quantum mechanical problem with unitary evolution operator. The theory is self-dual: there are two exponential fields related by Hermitian conjugation, satisfying two discrete quantum Liouville equations, and living in mutually commuting subalgebras of the quantum algebra of observables.

Keywords

Evolution Operator Mechanical Problem Algebraic Approach Liouville Equation Unitary Evolution 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2001

Authors and Affiliations

  • L. D. Faddeev
    • 1
  • R. M. Kashaev
    • 1
  • A. Yu. Volkov
    • 1
  1. 1.Steklov Mathematical Institute at St. Petersburg, Fontanka 27, St. Petersburg 191011, Russia.¶E-mail: faddeev@pdmi.ras.ru; kashaev@pdmi.ras.ruRU

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