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arXiv · 1807.10559

Smoothness of correlation functions in Liouville Conformal Field Theory

Joona Oikarinen
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Abstract

In this article we prove smoothness of the correlation functions in probabilistic Liouville Conformal Field Theory. Our result is a step towards proving that the correlation functions satisfy the higher Ward identities and the higher BPZ equations, predicted by the Conformal Bootstrap approach to Conformal Field Theory.

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Joona Oikarinen. 2019-06-16. Smoothness of correlation functions in Liouville Conformal Field Theory. https://doi.org/10.1007/s00023-019-00789-0

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