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The topological aspects of Einstein gravity suggest that topologicalinvariance could be a more profound principle in understanding quantum gravity.In this work, we explore a topological supergravity action that initiallydescribes 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 classicalmetric, whose dynamics are controlled by the Einstein equation. Our findingssuggest that a quantum theory of gravity could be governed by a UV fixed pointof a SUSY TQFT, and classical spacetime ceases to exist beyond the Planckscale.

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