# Probabilistic conformal blocks for Liouville CFT on the torus

@article{Ghosal2020ProbabilisticCB, title={Probabilistic conformal blocks for Liouville CFT on the torus}, author={Promit Ghosal and Guillaume Remy and Xin Sun and Yi Sui Sun}, journal={arXiv: Probability}, year={2020} }

Liouville theory is a fundamental example of a conformal field theory (CFT) first introduced by Polyakov in the context of string theory. Conformal blocks are objects underlying the integrable structure of CFT via the conformal bootstrap equation. The present work provides a probabilistic construction of the 1-point toric conformal block of Liouville theory in terms of a Gaussian multiplicative chaos measure corresponding to a one-dimensional log-correlated field. We prove that our…

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