Soft gravitons in three dimensions

Abstract 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 matt...

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Main Authors: Jordan Cotler, Kristan Jensen, Stefan Prohazka, Max Riegler, Jakob Salzer
Format: Article
Language:English
Published: SpringerOpen 2025-07-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP07(2025)002
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author Jordan Cotler
Kristan Jensen
Stefan Prohazka
Max Riegler
Jakob Salzer
author_facet Jordan Cotler
Kristan Jensen
Stefan Prohazka
Max Riegler
Jakob Salzer
author_sort Jordan Cotler
collection DOAJ
description Abstract 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.
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institution Kabale University
issn 1029-8479
language English
publishDate 2025-07-01
publisher SpringerOpen
record_format Article
series Journal of High Energy Physics
spelling doaj-art-a4cecd80befe42ea9d4a3444699ba8972025-08-20T04:01:44ZengSpringerOpenJournal of High Energy Physics1029-84792025-07-012025714010.1007/JHEP07(2025)002Soft gravitons in three dimensionsJordan Cotler0Kristan Jensen1Stefan Prohazka2Max Riegler3Jakob Salzer4Department of Physics, Harvard UniversityDepartment of Physics and Astronomy, University of VictoriaUniversity of Vienna, Faculty of Physics, Mathematical PhysicsQuantum Technology Laboratories GmbHUniversité Libre de Bruxelles and International Solvay InstitutesAbstract 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.https://doi.org/10.1007/JHEP07(2025)002Field Theories in Higher DimensionsModels of Quantum Gravity
spellingShingle Jordan Cotler
Kristan Jensen
Stefan Prohazka
Max Riegler
Jakob Salzer
Soft gravitons in three dimensions
Journal of High Energy Physics
Field Theories in Higher Dimensions
Models of Quantum Gravity
title Soft gravitons in three dimensions
title_full Soft gravitons in three dimensions
title_fullStr Soft gravitons in three dimensions
title_full_unstemmed Soft gravitons in three dimensions
title_short Soft gravitons in three dimensions
title_sort soft gravitons in three dimensions
topic Field Theories in Higher Dimensions
Models of Quantum Gravity
url https://doi.org/10.1007/JHEP07(2025)002
work_keys_str_mv AT jordancotler softgravitonsinthreedimensions
AT kristanjensen softgravitonsinthreedimensions
AT stefanprohazka softgravitonsinthreedimensions
AT maxriegler softgravitonsinthreedimensions
AT jakobsalzer softgravitonsinthreedimensions