Publications at the Riemann Center
Instantons on the six-sphere and twistors
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.
Details
- Organisation(s)
-
Quest: Centre for Quantum Engineering and Space-Time Research
Institute of Theoretical Physics
Riemann Center for Geometry and Physics
- External Organisation(s)
-
Joint Institute for Nuclear Research
- Type
- Article
- Journal
- Journal of mathematical physics
- Volume
- 53
- ISSN
- 0022-2488
- Publication date
- 19.12.2012
- Publication status
- Published
- Peer reviewed
- Yes
- ASJC Scopus subject areas
- Statistical and Nonlinear Physics, Mathematical Physics
- Electronic version(s)
-
https://doi.org/10.1063/1.4765065 (Access:
Unknown
)
