Details
| Original language | English |
|---|---|
| Article number | 44 |
| Journal | Journal of high energy physics |
| Volume | 2010 |
| Issue number | 10 |
| Publication status | Published - 2010 |
Abstract
We consider LieG-valued Yang-Mills fields on the space ℝ × G/H, where G/H is a compact nearly Kähler six-dimensional homogeneous space, and the manifold ℝ ×G/H carries a G2-structure. After imposing a general G-invariance condition, Yang-Mills theory with torsion on ℝ ×G/H is reduced to Newtonian mechanics of a particle moving in ℝ6, ℝ4 or ℝ2 under the influence of an inverted double-well-type potential for the cases G/H = SU(3)/U(1)×U(1), Sp(2)/Sp(1)×U(1) or G2/SU(3), respectively. We analyze all critical points and present analytical and numerical kink-and bounce-type solutions, which yield G-invariant instanton configurations on those cosets. Periodic solutions on S1 ×G/H and dyons on iℝ ×G/H are also given.
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. 2010, No. 10, 44, 2010.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Yang-Mills instantons and dyons on homogeneous G2-manifolds
AU - Bauer, Irina
AU - Ivanova, Tatiana A.
AU - Lechtenfeld, Olaf
AU - Lubbe, Felix
N1 - Copyright: Copyright 2019 Elsevier B.V., All rights reserved.
PY - 2010
Y1 - 2010
N2 - We consider LieG-valued Yang-Mills fields on the space ℝ × G/H, where G/H is a compact nearly Kähler six-dimensional homogeneous space, and the manifold ℝ ×G/H carries a G2-structure. After imposing a general G-invariance condition, Yang-Mills theory with torsion on ℝ ×G/H is reduced to Newtonian mechanics of a particle moving in ℝ6, ℝ4 or ℝ2 under the influence of an inverted double-well-type potential for the cases G/H = SU(3)/U(1)×U(1), Sp(2)/Sp(1)×U(1) or G2/SU(3), respectively. We analyze all critical points and present analytical and numerical kink-and bounce-type solutions, which yield G-invariant instanton configurations on those cosets. Periodic solutions on S1 ×G/H and dyons on iℝ ×G/H are also given.
AB - We consider LieG-valued Yang-Mills fields on the space ℝ × G/H, where G/H is a compact nearly Kähler six-dimensional homogeneous space, and the manifold ℝ ×G/H carries a G2-structure. After imposing a general G-invariance condition, Yang-Mills theory with torsion on ℝ ×G/H is reduced to Newtonian mechanics of a particle moving in ℝ6, ℝ4 or ℝ2 under the influence of an inverted double-well-type potential for the cases G/H = SU(3)/U(1)×U(1), Sp(2)/Sp(1)×U(1) or G2/SU(3), respectively. We analyze all critical points and present analytical and numerical kink-and bounce-type solutions, which yield G-invariant instanton configurations on those cosets. Periodic solutions on S1 ×G/H and dyons on iℝ ×G/H are also given.
KW - Differential and algebraic geometry
KW - Flux compactifications
KW - Solitons monopoles and instantons
UR - http://www.scopus.com/inward/record.url?scp=84856389203&partnerID=8YFLogxK
U2 - 10.48550/arXiv.1006.2388
DO - 10.48550/arXiv.1006.2388
M3 - Article
AN - SCOPUS:84856389203
VL - 2010
JO - Journal of high energy physics
JF - Journal of high energy physics
SN - 1126-6708
IS - 10
M1 - 44
ER -