Instantons on sine-cones over Sasakian manifolds

authored by

Severin Bunk, Tatiana A. Ivanova, Olaf Lechtenfeld, Alexander D. Popov, Marcus Sperling

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.

Organisation(s)

Institut für Theoretische Physik
Riemann Center for Geometry and Physics

External Organisation(s)

Joint Institute for Nuclear Research (JINR)

Type

Artikel

Journal

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volume

90

ISSN

1550-7998

Publication date

23.09.2014

Publication status

Veröffentlicht

Peer reviewed

Yes

ASJC Scopus Sachgebiete

Kern- und Hochenergiephysik, Physik und Astronomie (sonstige)

Electronic version(s)

https://doi.org/10.1103/PhysRevD.90.065028 (Access: Unbekannt)