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arXiv · 2203.11721

Liouville conformal field theory on Riemann surface with boundaries

Baojun Wu
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Abstract

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. We also prove some fusion-type estimates in the Boundary LCFT. This note will serve as a reference for a program leading to the conformal bootstrap for the Riemann surface with boundaries and several related projects.

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Baojun Wu. 2022-03-22. Liouville conformal field theory on Riemann surface with boundaries. https://arxiv.org/abs/2203.11721

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