English

The Decomposition of Global Conformal Invariants: Some Technical Proofs. I

Differential Geometry 2011-03-01 v2

Abstract

This paper forms part of a larger work where we prove a conjecture of Deser and Schwimmer regarding the algebraic structure of "global conformal invariants"; these are defined to be conformally invariant integrals of geometric scalars. The conjecture asserts that the integrand of any such integral can be expressed as a linear combination of a local conformal invariant, a divergence and of the Chern-Gauss-Bonnet integrand.

Keywords

Cite

@article{arxiv.0912.3757,
  title  = {The Decomposition of Global Conformal Invariants: Some Technical Proofs. I},
  author = {Spyros Alexakis},
  journal= {arXiv preprint arXiv:0912.3757},
  year   = {2011}
}