Quantum Exchange Algebra and Locality in Liouville Theory
T. Fujiwara, H. Igarashi, Y. Takimoto (Ibaraki Univ.)
TL;DR
This paper investigates the exact operator solution of quantum Liouville theory, focusing on locality, field equations, and commutation relations, confirming the validity of a previously proposed solution to all orders in the cosmological constant.
Contribution
It provides a detailed analysis of the exchange algebra in quantum Liouville theory and verifies the correctness of Otto and Weigt's exact solution.
Findings
The exact solution is valid to all orders in the cosmological constant.
Locality and canonical commutation relations are consistent with the exchange algebra.
The study clarifies the structure of quantum Liouville theory's operator solutions.
Abstract
Exact operator solution for quantum Liouville theory is investigated based on the canonical free field. Locality, the field equation and the canonical commutation relations are examined based on the exchange algebra hidden in the theory. The exact solution proposed by Otto and Weigt is shown to be correct to all order in the cosmological constant.
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