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

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

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...

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Bibliographic Details
Main Author: Spyros Alexakis
Format: Article
Language:English
Published: National Academy of Science of Ukraine 2011-02-01
Series:Symmetry, Integrability and Geometry: Methods and Applications
Subjects:
conormal geometry
renormalized volume
global invariants
Deser-Schwimmer conjecture
Online Access:http://dx.doi.org/10.3842/SIGMA.2011.019
Description
Summary: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.
ISSN:1815-0659

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