Details
| Original language | English |
|---|---|
| Article number | 123506 |
| Journal | Journal of mathematical physics |
| Volume | 53 |
| Issue number | 12 |
| Publication status | Published - 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.
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Statistical and Nonlinear Physics
- Mathematics(all)
- Mathematical Physics
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In: Journal of mathematical physics, Vol. 53, No. 12, 123506, 19.12.2012.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Instantons on the six-sphere and twistors
AU - Lechtenfeld, Olaf
AU - Popov, Alexander D.
N1 - Funding Information: We would like to thank Vicente Cortés, Klaus Hulek, and Misha Verbitsky for useful discussions in the framework of the Graduiertenkolleg “Analysis, Geometry and String Theory.” This work was in part supported by the Deutsche Forschungsgemeinschaft and the Riemann Center for Geometry and Physics of Leibniz Universität Hannover. Copyright: Copyright 2013 Elsevier B.V., All rights reserved.
PY - 2012/12/19
Y1 - 2012/12/19
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84871901999&partnerID=8YFLogxK
U2 - 10.1063/1.4765065
DO - 10.1063/1.4765065
M3 - Article
AN - SCOPUS:84871901999
VL - 53
JO - Journal of mathematical physics
JF - Journal of mathematical physics
SN - 0022-2488
IS - 12
M1 - 123506
ER -