Publications at the Riemann Center
Instantons on sine-cones over Sasakian manifolds
Abstract
We investigate instantons on sine-cones over Sasaki-Einstein and 3-Sasakian manifolds. It is shown that these conical Einstein manifolds are Kähler with torsion (KT) manifolds admitting Hermitian connections with totally antisymmetric torsion. Furthermore, a deformation of the metric on the sine-cone over 3-Sasakian manifolds allows one to introduce a hyper-Kähler with torsion (HKT) structure. In the large-volume limit these KT and HKT spaces become Calabi-Yau and hyper-Kähler conifolds, respectively. We construct gauge connections on complex vector bundles over conical KT and HKT manifolds which solve the instanton equations for Yang-Mills fields in higher dimensions.
Details
- Organisation(s)
-
Institute of Theoretical Physics
Riemann Center for Geometry and Physics
- External Organisation(s)
-
Joint Institute for Nuclear Research
- Type
- Article
- Journal
- Physical Review D - Particles, Fields, Gravitation and Cosmology
- Volume
- 90
- ISSN
- 1550-7998
- Publication date
- 23.09.2014
- Publication status
- Published
- Peer reviewed
- Yes
- ASJC Scopus subject areas
- Nuclear and High Energy Physics, Physics and Astronomy (miscellaneous)
- Electronic version(s)
-
https://doi.org/10.1103/PhysRevD.90.065028 (Access:
Unknown
)
