The emergence of Einstein gravity from topological supergravity in $3+1$D

Autor:	Fang, Tianyao, Gu, Zheng-Cheng
Rok vydání:	2023
Předmět:	General Relativity and Quantum Cosmology High Energy Physics - Theory
Druh dokumentu:	Working Paper
Popis:	The topological aspects of Einstein gravity suggest that topological invariance could be a more profound principle in understanding quantum gravity. In this work, we explore a topological supergravity action that initially describes a universe without Riemann curvature, which seems trivial. However, we made a surprising discovery by introducing a small deformation parameter $\lambda$, which can be regarded as an AdS generalization of supersymmetry (SUSY). We find that the deformed topological quantum field theory (TQFT) becomes unstable at low energy, resulting in the emergence of a classical metric, whose dynamics are controlled by the Einstein equation. Our findings suggest that a quantum theory of gravity could be governed by a UV fixed point of a SUSY TQFT, and classical spacetime ceases to exist beyond the Planck scale. Comment: 12 pages, no figure
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2312.17196 Zobrazit plný text záznamu View this record from Arxiv