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arXiv · 2006.11317

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

Henry Maxfield·Gustavo J. Turiaci
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Abstract

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.

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Henry Maxfield, Gustavo J. Turiaci. 2020-06-19. The path integral of 3D gravity near extremality; or, JT gravity with defects as a matrix integral. https://doi.org/10.1007/jhep01(2021)118

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