English

Ghost Equations and Diffeomorphism Invariant Theories

High Energy Physics - Theory 2009-10-31 v2 General Relativity and Quantum Cosmology

Abstract

Four-dimensional Einstein gravity in the Palatini first order formalism is shown to possess a vector supersymmetry of the same type as found in the topological theories for Yang-Mills fields. A peculiar feature of the gravitational theory, characterized by diffeomorphism invariance, is a direct link of vector supersymmetry with the field equation of motion for the Faddeev-Popov ghost of diffeomorphisms.

Keywords

Cite

@article{arxiv.hep-th/0005011,
  title  = {Ghost Equations and Diffeomorphism Invariant Theories},
  author = {Olivier Piguet},
  journal= {arXiv preprint arXiv:hep-th/0005011},
  year   = {2009}
}

Comments

LaTex, 10 pages; sign corrected in eq. (3.9); added and completed references

R2 v1 2026-07-22T14:57:51.258Z