Instantons on the six-sphere and twistors

authored by

Olaf Lechtenfeld, Alexander D. Popov

Abstract

We consider the six-sphere S6 = G2/SU(3) and its twistor space U(2) associated with the SU(3)-structure on S6. It is shown that a Hermitian Yang-Mills connection (instanton) on a smooth vector bundle over S6 is equivalent to a flat partial connection on a vector bundle over the twistor space The relation with Tian's tangent instantons on and their twistor description are briefly discussed.

Organisation(s)

Quest: Centre for Quantum Engineering and Space-Time Research
Institut für Theoretische Physik
Riemann Center for Geometry and Physics

External Organisation(s)

Joint Institute for Nuclear Research (JINR)

Type

Artikel

Journal

Journal of mathematical physics

Volume

53

ISSN

0022-2488

Publication date

19.12.2012

Publication status

Veröffentlicht

Peer reviewed

Yes

ASJC Scopus Sachgebiete

Statistische und nichtlineare Physik, Mathematische Physik

Electronic version(s)

https://doi.org/10.1063/1.4765065 (Access: Unbekannt)