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Journal of High Energy Physics

, 2019:124 | Cite as

One-loop quantum gravity from the N particle 4 spinning

  • Fiorenzo Bastianelli
  • Roberto BonezziEmail author
  • Olindo Corradini
  • Emanuele Latini
Open Access
Regular Article - Theoretical Physics
  • 46 Downloads

Abstract

We construct a spinning particle that reproduces the propagation of the graviton on those curved backgrounds which solve the Einstein equations, with or without cosmological constant, i.e. Einstein manifolds. It is obtained by modifying the \( \mathcal{N} \) = 4 supersymmetric spinning particle by relaxing the gauging of the full SO(4) R-symmetry group to a parabolic subgroup, and selecting suitable Chern-Simons couplings on the worldline. We test it by computing the correct one-loop divergencies of quantum gravity in D = 4.

Keywords

ERST Quantization Models of Quantum Gravity Sigma Models 

Notes

Open Access

This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited

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Copyright information

© The Author(s) 2019

Authors and Affiliations

  1. 1.Dipartimemo di Fisica e AstroromiaUniversità di BoloqnaBolognaItaly
  2. 2.INFNBolognaItaly
  3. 3.Max-Planck-Institut für GravitationphysikAlberl-Einstein-InstitutGolmGermany
  4. 4.Institute for PhysicsHumboldt University BerlinBerlinGermany
  5. 5.Dipartimento di Scienze Fisiche, Informatiche e MatematicheUniversità degli Studi di Modena e Reggio EmiliaModenaItaly
  6. 6.Dipartimemo di MatematicaUniversità di BolognaBolognaItaly

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