Solving puzzles in deformed JT gravity: phase transitions and non-perturbative effects
Abstract
Recent work has shown that certain deformations of the scalar potential in Jackiw-Teitelboim gravity can be written as double-scaled matrix models. However, some of the deformations exhibit an apparent breakdown of unitarity in the form of a negative spectral density at disc order. We show here that the source of the problem is the presence of a multi-valued solution of the leading order matrix model string equation. While for a class of deformations we fix the problem by identifying a first order phase transition, for others we show that the theory is both perturbatively and non-perturbatively inconsistent. Aspects of the phase structure of the deformations are mapped out, using methods known to supply a non-perturbative definition of undeformed JT gravity. Some features are in qualitative agreement with a semi-classical analysis of the phase structure of two-dimensional black holes in these deformed theories.
- Authors:
-
[2]
- Univ. of Southern California, Los Angeles, CA (United States). Dept. of Physics and Astronomy
- Univ. of Southern California, Los Angeles, CA (United States). Dept. of Physics and Astronomy; Univ. of California, Santa Barbara, CA (United States). Kavli Inst. for Theoretical Physics
- Publication Date:
- Research Org.:
- Univ. of Southern California, Los Angeles, CA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC); National Science Foundation (NSF)
- OSTI Identifier:
- 1851515
- Grant/Contract Number:
- SC0011687; PHY- 174895
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Journal of High Energy Physics (Online)
- Additional Journal Information:
- Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2021; Journal Issue: 4; Journal ID: ISSN 1029-8479
- Publisher:
- Springer Nature
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 79 ASTRONOMY AND ASTROPHYSICS; Physics; 2D gravity; Matrix models; Models of quantum gravity
Citation Formats
Johnson, Clifford V., and Rosso, Felipe. Solving puzzles in deformed JT gravity: phase transitions and non-perturbative effects. United States: N. p., 2021.
Web. doi:10.1007/jhep04(2021)030.
Johnson, Clifford V., & Rosso, Felipe. Solving puzzles in deformed JT gravity: phase transitions and non-perturbative effects. United States. https://doi.org/10.1007/jhep04(2021)030
Johnson, Clifford V., and Rosso, Felipe. Tue .
"Solving puzzles in deformed JT gravity: phase transitions and non-perturbative effects". United States. https://doi.org/10.1007/jhep04(2021)030. https://www.osti.gov/servlets/purl/1851515.
@article{osti_1851515,
title = {Solving puzzles in deformed JT gravity: phase transitions and non-perturbative effects},
author = {Johnson, Clifford V. and Rosso, Felipe},
abstractNote = {Recent work has shown that certain deformations of the scalar potential in Jackiw-Teitelboim gravity can be written as double-scaled matrix models. However, some of the deformations exhibit an apparent breakdown of unitarity in the form of a negative spectral density at disc order. We show here that the source of the problem is the presence of a multi-valued solution of the leading order matrix model string equation. While for a class of deformations we fix the problem by identifying a first order phase transition, for others we show that the theory is both perturbatively and non-perturbatively inconsistent. Aspects of the phase structure of the deformations are mapped out, using methods known to supply a non-perturbative definition of undeformed JT gravity. Some features are in qualitative agreement with a semi-classical analysis of the phase structure of two-dimensional black holes in these deformed theories.},
doi = {10.1007/jhep04(2021)030},
journal = {Journal of High Energy Physics (Online)},
number = 4,
volume = 2021,
place = {United States},
year = {Tue Apr 06 00:00:00 EDT 2021},
month = {Tue Apr 06 00:00:00 EDT 2021}
}
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