Speaker
Dr
Teresa Bautista
(Max Planck Institute for Gravitational Physics)
Description
The Euclidean path integral of quantum gravity requires a proper definition because the kinetic term for the conformal factor of the metric comes with an additional minus sign. We propose a definition of two-dimensional quantum gravity with a cosmological constant based on the conformal bootstrap results of timelike Liouville theory coupled to matter. For the spectrum, we prove a no-ghost theorem for the states in the BRST cohomology. We then show that the crossing symmetric 4-point function constructed by gluing the timelike 3-point function with the Ribault-Santachiara contour for internal momenta, is well-defined when the external momenta are analytically continued to correspond to the physical states in the BRST cohomology.
Primary authors
Prof.
Atish Dabholkar
(ICTP)
Dr
Harold Erbin
(LMU)
Dr
Teresa Bautista
(Max Planck Institute for Gravitational Physics)
