Strongly Coupled Quantum Discrete Liouville Theory.¶I: Algebraic Approach and Duality
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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.
KeywordsEvolution Operator Mechanical Problem Algebraic Approach Liouville Equation Unitary Evolution
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