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

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.

11 pages, typos corrected in formulas (3.7), (3,9), (3.10) and (3.13) present in the published version, references updated

References in corpus (2)

• Parent form for higher spin fields on anti-de Sitter space
• Detours and Paths: BRST Complexes and Worldline Formalism

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