The emergence of Einstein gravity from topological supergravity in $3+1$D
Abstract: 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.
- P. Agrawal, S. Gukov, G. Obied, and C. Vafa, “Topological gravity as the early phase of our universe,” (2020), arXiv:2009.10077 [hep-th] .
- R. Raitio, “The fate of supersymmetry in topological quantum field theories,” (2023), arXiv:2307.13017 [hep-ph] .
- D. J. Gross, Phys. Rev. Lett. 60, 1229 (1988).
- E. Witten, Physics Letters B 206, 601 (1988a).
- E. Witten, “Three-dimensional gravity revisited,” (2007), arXiv:0706.3359 [hep-th] .
- E. Witten, Nuclear Physics B 311, 46 (1988b).
- A. Chamseddine, Nuclear Physics B 346, 213 (1990).
- A. Chamseddine, Physics Letters B 233, 291 (1989).
- Physics Letters B 228, 75 (1989).
- F. Izaurieta, E. Rodríguez, and P. Salgado, “On transgression forms and chern–simons (super)gravity,” (2006a), arXiv:hep-th/0512014 [hep-th] .
- F. Izaurieta, E. Rodríguez, and P. Salgado, “On transgression forms and chern–simons (super)gravity,” (2006b), arXiv:hep-th/0512014 [hep-th] .
- A. M. Polyakov, Gauge Fields and Strings, Vol. 3 (1987).
- S. W. Hawking, Communications in Mathematical Physics 55, 133 (1977).
- D. Vassilevich, Physics Reports 388, 279 (2003).
- R. S. Jasinschi and A. W. Smith, “Effective potential in N=1, d=4 supergravity coupled to the Volkov-Akulov field,” (1984).
- R. Jasinschi and A. W. Smith, Physics Letters B 173, 297 (1986).
- R. Ishikawa and S. V. Ketov, Progress of Theoretical and Experimental Physics 2020 (2020), 10.1093/ptep/ptz152.
- D. Z. Freedman and A. Van Proeyen, Supergravity (Cambridge Univ. Press, Cambridge, UK, 2012).
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