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

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

2009-12-18

arxiv.org/abs/0912.3757v2

SIGMA 7 (2011), 019, 41 pages

Mathematics

Differential Geometry

Scientific paper

10.3842/SIGMA.2011.019

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.

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