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  Quantum Gravity from Timelike Liouville theory

Bautista, T., Dabholkar, A., & Erbin, H. (2019). Quantum Gravity from Timelike Liouville theory. Journal of High Energy Physics, 2019(10): 284. doi:10.1007/JHEP10(2019)284.

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Item Permalink: http://hdl.handle.net/21.11116/0000-0003-CCD2-A Version Permalink: http://hdl.handle.net/21.11116/0000-0005-A61C-1
Genre: Journal Article

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 Creators:
Bautista, Teresa1, Author              
Dabholkar, Atish, Author
Erbin, Harold, Author
Affiliations:
1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014              

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Free keywords: High Energy Physics - Theory, hep-th,General Relativity and Quantum Cosmology, gr-qc
 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.

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 Dates: 2019-05-292019
 Publication Status: Published in print
 Pages: 42 pages
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 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1905.12689
URI: http://arxiv.org/abs/1905.12689
DOI: 10.1007/JHEP10(2019)284
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Title: Journal of High Energy Physics
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Pages: - Volume / Issue: 2019 (10) Sequence Number: 284 Start / End Page: - Identifier: -