One-loop quantum gravity from the N particle 4 spinning

• Published in: The journal of high energy physics Vol. 2019; no. 11; pp. 1 - 16
• Main Authors: Bastianelli, Fiorenzo, Bonezzi, Roberto, Corradini, Olindo, Latini, Emanuele
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01-11-2019; Springer Nature B.V; SpringerOpen
• Subjects: Algebra; Classical and Quantum Gravitation; Cosmological constant; Couplings; Einstein equations; Elementary Particles; ERST Quantization; Gaging; Gauges; Gravitons; Gravity; High energy physics; Hilbert space; Models of Quantum Gravity; Physics; Physics and Astronomy; Quantum Field Theories; Quantum Field Theory; Quantum gravity; Quantum Physics; Regular Article - Theoretical Physics; Relativity Theory; Sigma Models; Spacetime; String Theory; Subgroups; Symmetry; ERST Quantization; Sigma Models; Models of Quantum Gravity
• ISSN: 1029-8479; 1029-8479
• DOI: 10.1007/JHEP11(2019)124

A
bstract
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
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.