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  BRST cohomology of timelike Liouville theory

Bautista, T., Erbin, H., & Kudrna, M. (2020). BRST cohomology of timelike Liouville theory. Journal of High Energy Physics, 2020(5): 29. doi:10.1007/JHEP05(2020)029.

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Item Permalink: http://hdl.handle.net/21.11116/0000-0005-A68F-F Version Permalink: http://hdl.handle.net/21.11116/0000-0006-72DA-4
Genre: Journal Article

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 Creators:
Bautista, Teresa1, Author              
Erbin, Harold, Author
Kudrna, Matěj, 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: We compute the Hermitian sector of the relative BRST cohomology of the spacelike and timelike Liouville theories with generic real central charge $c_L$ in each case, coupled to a spacelike Coulomb gas and a generic transverse CFT. This paper is a companion of arXiv:1905.12689, and its main goal is to completely characterize the cohomology of the timelike theory with $c_L < 1$ which was there defined. We also apply our formulas to revisit the BRST cohomology of the spacelike Liouville theory with $c_L > 1$, which includes generalized minimal gravity. We prove a no-ghost theorem for the Hermitian sector in the timelike theory and for some spacelike models.

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 Dates: 2020-02-052020
 Publication Status: Published in print
 Pages: 25 pages
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 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 2002.01722
URI: http://arxiv.org/abs/2002.01722
DOI: 10.1007/JHEP05(2020)029
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Title: Journal of High Energy Physics
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Pages: - Volume / Issue: 2020 (5) Sequence Number: 29 Start / End Page: - Identifier: -