Abstract
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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Communicated by Denis Bernard.
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Research supported by ERC Advanced Grant 741487 (QFPROBA).
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Oikarinen, J. Smoothness of Correlation Functions in Liouville Conformal Field Theory. Ann. Henri Poincaré 20, 2377–2406 (2019). https://doi.org/10.1007/s00023-019-00789-0
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DOI: https://doi.org/10.1007/s00023-019-00789-0