Skip to Main content Skip to Navigation
Journal articles

Quantum Gravity from Timelike Liouville theory

Abstract : A proper definition of the path integral of quantum gravity has been a long- standing puzzle because the Weyl factor of the Euclidean metric has a wrong-sign kinetic term. We propose a definition of two-dimensional Liouville quantum gravity with cos- mological 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 Liouville three- point functions is well defined and crossing symmetric (numerically) for external Liouville energies corresponding to all physical states in the BRST cohomology with the choice of the Ribault-Santachiara contour for the internal energy.
Complete list of metadatas

https://hal.archives-ouvertes.fr/hal-02160627
Contributor : Inspire Hep <>
Submitted on : Wednesday, June 19, 2019 - 7:47:36 PM
Last modification on : Wednesday, November 25, 2020 - 4:07:14 AM

Links full text

Identifiers

Citation

Teresa Bautista, Atish Dabholkar, Harold Erbin. Quantum Gravity from Timelike Liouville theory. JHEP, 2019, 10, pp.284. ⟨10.1007/JHEP10(2019)284⟩. ⟨hal-02160627⟩

Share

Metrics

Record views

354