Instantons on the six-sphere and twistors

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Original languageEnglish
Article number123506
JournalJournal of mathematical physics
Volume53
Issue number12
Publication statusPublished - 19 Dec 2012

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.

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Instantons on the six-sphere and twistors. / Lechtenfeld, Olaf; Popov, Alexander D.
In: Journal of mathematical physics, Vol. 53, No. 12, 123506, 19.12.2012.

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Lechtenfeld O, Popov AD. Instantons on the six-sphere and twistors. Journal of mathematical physics. 2012 Dec 19;53(12):123506. doi: 10.1063/1.4765065
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