Maximal linear subspaces of strong self-dual 2-forms and the Bonan 4-form
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Date
2011
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Elsevier Science Inc
Abstract
The notion of self-duality of 2-forms in 4-dimensions plays an eminent role in many areas of mathematics and physics, but although the 2-forms have a genuine meaning related to curvature and gauge-field-strength in higher dimensions also, their "self-duality" is something which is almost avoided above 4-dimensions. We show that self-duality of 2-forms is a very natural notion in higher (even) dimensions also and we prove the equivalence of some scattered and rarely used definitions in the literature. We demonstrate the usefulness of this higher self-duality by studying it in 8-dimensions and we derive a natural expression for the Bonan form in terms of self-dual 2-forms and we give an explicit expression of the local action of SO(8) on the Bonan form. (C) 2010 Elsevier Inc. All rights reserved.
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Keywords
Bonan form, Self-duality Eight manifolds
Turkish CoHE Thesis Center URL
Citation
2
WoS Q
Q2
Scopus Q
Q1
Source
Volume
434
Issue
5
Start Page
1200
End Page
1214