Soft gravitons in three dimensions

Autor: Cotler, Jordan, Jensen, Kristan, Prohazka, Stefan, Riegler, Max, Salzer, Jakob
Rok vydání: 2024
Předmět:
Druh dokumentu: Working Paper
Popis: 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.
Comment: 36+7 pages, 2 figures
Databáze: arXiv