String Theory Seminars
Quantum gravity from timelike Liouville [Quantum Spacetime Seminar]
by Prof. Atish Dabholkar (ICTP, Trieste, Italy)
Thursday, January 3, 2019 from to (Asia/Kolkata)
A proper definition of the path integral of quantum gravity has been a long standing puzzle because the conformal factor of the Euclidean metric has a wrong-sign kinetic term. We propose a definition of two-dimensional quantum gravity with cosmological constant using conformal bootstrap for the timelike Liouville theory coupled to supercritical matter. We prove a no-ghost theorem for the states in the BRST cohomology. We show that the four point function constructed by gluing the timelike DOZZ three point functions is well-defined and crossing symmetric with the choice of the Ribault-Santachiara contour for the internal momenta but with external momenta corresponding to physical states in the BRST cohomology.