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

Autor: Maxfield, Henry, Turiaci, Gustavo J.
Rok vydání: 2020
Předmět:
Druh dokumentu: Working Paper
DOI: 10.1007/JHEP01(2021)118
Popis: 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.
Comment: 57 pp; v2 typos corrected, ref added and new section 3.5
Databáze: arXiv