Details
| Original language | English |
|---|---|
| Article number | 103 |
| Journal | Journal of high energy physics |
| Volume | 2011 |
| Issue number | 9 |
| Publication status | Published - 2011 |
Abstract
We present a unified eight-dimensional approach to instanton equations on several seven-dimensional manifolds associated to a six-dimensional homogeneous nearly Kähler manifold. The cone over the sine-cone on a nearly Kähler manifold has holonomy group Spin(7) and can be foliated by submanifolds with either holonomy group G2, a nearly parallel G2-structure or a cocalibrated G2-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 R7 and R8 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.
Keywords
- Differential and Algebraic Geometry, Flux compactifications, Solitons Monopoles and Instantons
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Nuclear and High Energy Physics
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In: Journal of high energy physics, Vol. 2011, No. 9, 103, 2011.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Yang-Mills instantons on cones and sine-cones over nearly Kähler manifolds
AU - Gemmer, Karl Philip
AU - Lechtenfeld, Olaf
AU - Nölle, Christoph
AU - Popov, Alexander D.
N1 - Copyright: Copyright 2011 Elsevier B.V., All rights reserved.
PY - 2011
Y1 - 2011
N2 - We present a unified eight-dimensional approach to instanton equations on several seven-dimensional manifolds associated to a six-dimensional homogeneous nearly Kähler manifold. The cone over the sine-cone on a nearly Kähler manifold has holonomy group Spin(7) and can be foliated by submanifolds with either holonomy group G2, a nearly parallel G2-structure or a cocalibrated G2-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 R7 and R8 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.
AB - We present a unified eight-dimensional approach to instanton equations on several seven-dimensional manifolds associated to a six-dimensional homogeneous nearly Kähler manifold. The cone over the sine-cone on a nearly Kähler manifold has holonomy group Spin(7) and can be foliated by submanifolds with either holonomy group G2, a nearly parallel G2-structure or a cocalibrated G2-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 R7 and R8 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.
KW - Differential and Algebraic Geometry
KW - Flux compactifications
KW - Solitons Monopoles and Instantons
UR - http://www.scopus.com/inward/record.url?scp=80053167311&partnerID=8YFLogxK
U2 - 10.48550/arXiv.1108.3951
DO - 10.48550/arXiv.1108.3951
M3 - Article
AN - SCOPUS:80053167311
VL - 2011
JO - Journal of high energy physics
JF - Journal of high energy physics
SN - 1126-6708
IS - 9
M1 - 103
ER -