Details
| Original language | English |
|---|---|
| Article number | 065028 |
| Journal | Physical Review D - Particles, Fields, Gravitation and Cosmology |
| Volume | 90 |
| Issue number | 6 |
| Publication status | Published - 23 Sept 2014 |
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.
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Nuclear and High Energy Physics
- Physics and Astronomy(all)
- Physics and Astronomy (miscellaneous)
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In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 90, No. 6, 065028, 23.09.2014.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Instantons on sine-cones over Sasakian manifolds
AU - Bunk, Severin
AU - Ivanova, Tatiana A.
AU - Lechtenfeld, Olaf
AU - Popov, Alexander D.
AU - Sperling, Marcus
N1 - Publisher Copyright: © 2014 American Physical Society. Copyright: Copyright 2015 Elsevier B.V., All rights reserved.
PY - 2014/9/23
Y1 - 2014/9/23
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84907459178&partnerID=8YFLogxK
U2 - 10.1103/PhysRevD.90.065028
DO - 10.1103/PhysRevD.90.065028
M3 - Article
AN - SCOPUS:84907459178
VL - 90
JO - Physical Review D - Particles, Fields, Gravitation and Cosmology
JF - Physical Review D - Particles, Fields, Gravitation and Cosmology
SN - 1550-7998
IS - 6
M1 - 065028
ER -