On the Timelike Liouville Three-point Function

GASTON GIRIBET

PHYSICAL REVIEW D - PARTICLE AND FILDS

APS

Año: 2012 vol. 85 p. 86009 - 86020

0556-2821

In a recent paper, D. Harlow, J. Maltz, and E. Witten showed that a particular proposal for the timelike Liouville three-point function, originally due to Al. Zamolodchikov and to I. Kostov and V. Petkova, can actually be computed by the original Liouville path integral evaluated on a new integration cycle. Here, we discuss a Coulomb gas computation of the timelike three-point function and show that an analytic extension of the Selberg type integral formulas involved reproduces the same expression, including the adequate normalization. A notable difference with the spacelike calculation is pointed out.