2018/06/08 by Furlan, P., Petkova, V. B.
#FOS: Physical sciences #High Energy Physics - Theory (hep-th)
paper · doi:10.48550/arxiv.1806.03270
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.