English
 
User Manual Privacy Policy Disclaimer Contact us
  Advanced SearchBrowse

Item

ITEM ACTIONSEXPORT

Released

Paper

Quantum Gravity from Timelike Liouville theory

MPS-Authors
/persons/resource/persons212459

Bautista,  Teresa
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

External Ressource
No external resources are shared
Fulltext (public)

1905.12689.pdf
(Preprint), 2MB

Supplementary Material (public)
There is no public supplementary material available
Citation

Bautista, T., Dabholkar, A., & Erbin, H. (in preparation). Quantum Gravity from Timelike Liouville theory.


Cite as: http://hdl.handle.net/21.11116/0000-0003-CCD2-A
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 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 Liouville three-point functions is well defined and crossing symmetric for external Liouville energies corresponding to \textit{all} physical states in the BRST cohomology with the choice of the Ribault--Santachiara contour for the internal energy.