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arXiv · 0912.3764

The decomposition of Global Conformal Invariants V

Spyros Alexakis
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Abstract

This is the fifth in a series of papers 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. The present paper complements [6] in reducing the purely algebraic results that were used in [3,4 to certain simpler Lemmas, which will be proven in the last paper in this series, [8].

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Spyros Alexakis. 2009-12-18. The decomposition of Global Conformal Invariants V. https://arxiv.org/abs/0912.3764

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