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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Maxfield, H., Turiaci, G.J. The path integral of 3D gravity near extremality; or, JT gravity with defects as a matrix integral. J. High Energ. Phys. 2021, 118 (2021). https://doi.org/10.1007/JHEP01(2021)118
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DOI: https://doi.org/10.1007/JHEP01(2021)118