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.
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Received: 26 May 2000 / Accepted: 28 May 2000
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Faddeev, L., Kashaev, R. & Volkov, A. Strongly Coupled Quantum Discrete Liouville Theory.¶I: Algebraic Approach and Duality. Commun. Math. Phys. 219, 199–219 (2001). https://doi.org/10.1007/s002200100412
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DOI: https://doi.org/10.1007/s002200100412