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arXiv · 0912.3757

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

Spyros Alexakis
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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.

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Spyros Alexakis. 2009-12-18. The Decomposition of Global Conformal Invariants: Some Technical Proofs. I. https://doi.org/10.3842/sigma.2011.019

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