Gemmer, Karl-Philip; Lechtenfeld, Olaf; Noelle, Christoph; Popov, Alexander D.: Yang-Mills instantons on cones and sine-cones over nearly Kahler manifolds. In: Journal of High Energy Physics 2011 (2011), Nr. 9, 103. DOI:
https://doi.org/10.1007/JHEP09(2011)103
Abstract: |
We present a unified eight-dimensional approach to instanton equations on several seven-dimensional manifolds associated to a six-dimensional homogeneous nearly Kahler manifold. The cone over the sine-cone on a nearly Kahler manifold has holonomy group Spin(7) and can be foliated by submanifolds with either holonomy group G(2), a nearly parallel G(2)-structure or a cocalibrated G(2)-structure. We show that there is a G(2)-instanton on each of these seven-dimensional manifolds which gives rise to a Spin(7)-instanton in eight dimensions. The well-known octonionic instantons on R-7 and R-8 are contained in our construction as the special cases of an instanton on the cone and on the cone over the sine-cone, both over the six-sphere, respectively.
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License of this version: |
CC BY 4.0 Unported - https://creativecommons.org/licenses/by/4.0/
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Publication type: |
Article |
Publishing status: |
publishedVersion |
Publication date: |
2011 |
Keywords english: |
Flux compactifications, Solitons Monopoles and Instantons, Differential and Algebraic Geometry, greater-than 4, gauge-fields, equations, solitons, spaces, dimensions, octonions, bundles, duality
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DDC: |
530 | Physik
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