One-loop quantum gravity from the N=4 spinning particle

TL;DR

This paper develops a modified N=4 spinning particle model that accurately reproduces graviton propagation on Einstein manifolds and verifies its effectiveness through one-loop divergence calculations in quantum gravity.

Contribution

It introduces a novel N=4 spinning particle model with relaxed R-symmetry gauging, enabling better representation of quantum gravity on curved backgrounds.

Findings

Successfully reproduces graviton propagation on Einstein manifolds

Accurately computes one-loop divergences in D=4 quantum gravity

Provides a new tool for studying quantum gravity in curved spacetimes

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 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.