Maximal linear subspaces of strong self-dual 2-forms and the Bonan 4-form

Loading...
Thumbnail Image

Date

2011

Authors

Dereli, Tekin
Koçak, Şahin

Journal Title

Journal ISSN

Volume Title

Publisher

Elsevier Science Inc

Research Projects

Organizational Units

Journal Issue

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.

Description

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