Baojun Wu
Published 2022-03-22Version 1
In this note, we give a unified rigorous construction for the Liouville conformal field theory on compact Riemann surface with boundaries for $\gamma\in (0,2]$ and prove a certain type of Markov property. This note will serve as a reference for a program leading to the conformal bootstrap for Riemann surface with boundaries and several related projects.
Comments: 18 pages, 2 figures. arXiv admin note: substantial text overlap with arXiv:1607.08467 by other authors
Conformal bootstrap in Liouville Theory
Conformal Bootstrap on the Annulus in Liouville CFT
The Virasoro structure and the scattering matrix for Liouville conformal field theory
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