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arXiv · 1806.03270

On some Coulomb gas integrals in higher dimensions

P. Furlan·V. B. Petkova
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Abstract

We point out that there is a generalization to higher dimensions $d=2h>2$ of the two-dimensional Dotsenko-Fateev formula \DF\ for particular Coulomb gas conformal invariant integrals. These expressions represent structure constants of 3-point functions of vertex operators related to a higher dimensional generalization of the Liouville theory. The Coulomb gas formulae admit two different analytic continuations generalizing the DOZZ formula, i.e., the theory is not selfdual for $d>2$.

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P. Furlan, V. B. Petkova. 2018-06-08. On some Coulomb gas integrals in higher dimensions. https://arxiv.org/abs/1806.03270

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