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DOE OSTI · 1851515

Solving puzzles in deformed JT gravity: phase transitions and non-perturbative effects

Johnson, Clifford V.·Rosso, Felipe
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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.

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2D gravity79 ASTRONOMY AND ASTROPHYSICSMatrix modelsModels of quantum gravityPhysics

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BibTeXRIS

Johnson, Clifford V., Rosso, Felipe. 2021-04-06. Solving puzzles in deformed JT gravity: phase transitions and non-perturbative effects. https://doi.org/10.1007/jhep04(2021)030

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