Soft gravitons in three dimensions

Fuente: arXiv
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Autores principales: Cotler, Jordan, Jensen, Kristan, Prohazka, Stefan, Riegler, Max, Salzer, Jakob
Formato: Preprint
Publicado: 2024
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author Cotler, Jordan
Jensen, Kristan
Prohazka, Stefan
Riegler, Max
Salzer, Jakob
author_facet Cotler, Jordan
Jensen, Kristan
Prohazka, Stefan
Riegler, Max
Salzer, Jakob
contents We consider quantum gravity with zero cosmological constant in three dimensions. First, we show that pure quantum gravity can be written as a magnetic Carrollian theory living on null infinity, described by Schwarzian-like degrees of freedom. Next, we couple quantum gravity to massless matter. Transition amplitudes exhibit several features that resemble soft graviton physics in four dimensions, despite the absence of a propagating graviton. As in four dimensions, we find three equivalent results: a soft graviton theorem, an infinite-dimensional BMS asymptotic symmetry, and a gravitational memory effect. We also resolve some extant puzzles concerning the partition function and Hilbert space of pure 3d gravity with zero cosmological constant.
format Preprint
id arxiv_https___arxiv_org_abs_2411_13633
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Soft gravitons in three dimensions
Cotler, Jordan
Jensen, Kristan
Prohazka, Stefan
Riegler, Max
Salzer, Jakob
High Energy Physics - Theory
General Relativity and Quantum Cosmology
We consider quantum gravity with zero cosmological constant in three dimensions. First, we show that pure quantum gravity can be written as a magnetic Carrollian theory living on null infinity, described by Schwarzian-like degrees of freedom. Next, we couple quantum gravity to massless matter. Transition amplitudes exhibit several features that resemble soft graviton physics in four dimensions, despite the absence of a propagating graviton. As in four dimensions, we find three equivalent results: a soft graviton theorem, an infinite-dimensional BMS asymptotic symmetry, and a gravitational memory effect. We also resolve some extant puzzles concerning the partition function and Hilbert space of pure 3d gravity with zero cosmological constant.
title Soft gravitons in three dimensions
topic High Energy Physics - Theory
General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2411.13633