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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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
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spelling doaj-619aeb107d8d4560a5d3b176f7efe7682020-11-24T22:17:15ZengNational Academy of Science of UkraineSymmetry, Integrability and Geometry: Methods and Applications1815-06592011-02-017019The Decomposition of Global Conformal Invariants: Some Technical Proofs. ISpyros AlexakisThis 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.http://dx.doi.org/10.3842/SIGMA.2011.019conormal geometryrenormalized volumeglobal invariantsDeser-Schwimmer conjecture
collection DOAJ
language English
format Article
sources DOAJ
author Spyros Alexakis
spellingShingle Spyros Alexakis
The Decomposition of Global Conformal Invariants: Some Technical Proofs. I
Symmetry, Integrability and Geometry: Methods and Applications
conormal geometry
renormalized volume
global invariants
Deser-Schwimmer conjecture
author_facet Spyros Alexakis
author_sort Spyros Alexakis
title The Decomposition of Global Conformal Invariants: Some Technical Proofs. I
title_short The Decomposition of Global Conformal Invariants: Some Technical Proofs. I
title_full The Decomposition of Global Conformal Invariants: Some Technical Proofs. I
title_fullStr The Decomposition of Global Conformal Invariants: Some Technical Proofs. I
title_full_unstemmed The Decomposition of Global Conformal Invariants: Some Technical Proofs. I
title_sort decomposition of global conformal invariants: some technical proofs. i
publisher National Academy of Science of Ukraine
series Symmetry, Integrability and Geometry: Methods and Applications
issn 1815-0659
publishDate 2011-02-01
description 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.
topic conormal geometry
renormalized volume
global invariants
Deser-Schwimmer conjecture
url http://dx.doi.org/10.3842/SIGMA.2011.019
work_keys_str_mv AT spyrosalexakis thedecompositionofglobalconformalinvariantssometechnicalproofsi
AT spyrosalexakis decompositionofglobalconformalinvariantssometechnicalproofsi
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