The path integral of 3D gravity near extremality; or, JT gravity with defects as a matrix integral

A bstract We propose that a class of new topologies, for which there is no classical solution, should be included in the path integral of three-dimensional pure gravity, and that their inclusion solves pathological negativities in the spectrum, replacing them with a nonperturbative shift of the BTZ...

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Published inThe journal of high energy physics Vol. 2021; no. 1; pp. 1 - 56
Main Authors Maxfield, Henry, Turiaci, Gustavo J.
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.01.2021
Springer Nature B.V
SpringerOpen
Subjects
2D Gravity
Black Holes
Classical and Quantum Gravitation
Conformal Field Theory
Defects
Elementary Particles
Gravitation
High energy physics
Integrals
Nonperturbative Effects
Phase transitions
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
String Theory
Topology
2D Gravity
Black Holes
Conformal Field Theory
Nonperturbative Effects
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Summary:A bstract We propose that a class of new topologies, for which there is no classical solution, should be included in the path integral of three-dimensional pure gravity, and that their inclusion solves pathological negativities in the spectrum, replacing them with a nonperturbative shift of the BTZ extremality bound. We argue that a two dimensional calculation using a dimensionally reduced theory captures the leading effects in the near extremal limit. To make this argument, we study a closely related two-dimensional theory of Jackiw-Teitelboim gravity with dynamical defects. We show that this theory is equivalent to a matrix integral.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP01(2021)118