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arXiv · 1803.05418

The DOZZ Formula from the Path Integral

Antti Kupiainen·Rémi Rhodes·Vincent Vargas
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Abstract

We present a rigorous proof of the Dorn, Otto, Zamolodchikov, Zamolodchikov formula (the DOZZ formula) for the 3 point structure constants of Liouville Conformal Field Theory (LCFT) starting from a rigorous probabilistic construction of the functional integral defining LCFT given earlier by the authors and David. A crucial ingredient in our argument is a probabilistic derivation of the reflection relation in LCFT based on a refined tail analysis of Gaussian multiplicative chaos measures.

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Antti Kupiainen, Rémi Rhodes, Vincent Vargas. 2018-03-14. The DOZZ Formula from the Path Integral. https://doi.org/10.1007/jhep05(2018)094

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