Details
| Original language | English |
|---|---|
| Pages (from-to) | 569-576 |
| Number of pages | 8 |
| Journal | Physics of particles and nuclei |
| Volume | 43 |
| Issue number | 5 |
| Publication status | Published - Sept 2012 |
Abstract
The existence of K-instantons on a cylinder M 7 = ℝ τ × K/H over a homogeneous nearly Käller 6-manifold K/H requires a conformally parallel or a cocalibrated G 2-structure on M 7. The generalized anti-self-duality on M 7 implies a Chern-Simons flow on K/H which runs between instantons on the coset. For K-equivariant connections, the torsionful Yang-Mills equation reduces to a particular quartic dynamics for a Newtonian particle on ℂ. When the torsion corresponds to one of the G 2-structures, this dynamics follows from a gradient or hamiltonian flow equation, respectively. We present the analytic (kink-type) solutions and plot numerical non-BPS solutions for general torsion values interpolating between the instantonic ones.
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Nuclear and High Energy Physics
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In: Physics of particles and nuclei, Vol. 43, No. 5, 09.2012, p. 569-576.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Instantons and Chern-Simons flows in 6, 7 and 8 dimensions
AU - Lechtenfeld, O.
N1 - Copyright: Copyright 2012 Elsevier B.V., All rights reserved.
PY - 2012/9
Y1 - 2012/9
N2 - The existence of K-instantons on a cylinder M 7 = ℝ τ × K/H over a homogeneous nearly Käller 6-manifold K/H requires a conformally parallel or a cocalibrated G 2-structure on M 7. The generalized anti-self-duality on M 7 implies a Chern-Simons flow on K/H which runs between instantons on the coset. For K-equivariant connections, the torsionful Yang-Mills equation reduces to a particular quartic dynamics for a Newtonian particle on ℂ. When the torsion corresponds to one of the G 2-structures, this dynamics follows from a gradient or hamiltonian flow equation, respectively. We present the analytic (kink-type) solutions and plot numerical non-BPS solutions for general torsion values interpolating between the instantonic ones.
AB - The existence of K-instantons on a cylinder M 7 = ℝ τ × K/H over a homogeneous nearly Käller 6-manifold K/H requires a conformally parallel or a cocalibrated G 2-structure on M 7. The generalized anti-self-duality on M 7 implies a Chern-Simons flow on K/H which runs between instantons on the coset. For K-equivariant connections, the torsionful Yang-Mills equation reduces to a particular quartic dynamics for a Newtonian particle on ℂ. When the torsion corresponds to one of the G 2-structures, this dynamics follows from a gradient or hamiltonian flow equation, respectively. We present the analytic (kink-type) solutions and plot numerical non-BPS solutions for general torsion values interpolating between the instantonic ones.
UR - http://www.scopus.com/inward/record.url?scp=84866463315&partnerID=8YFLogxK
U2 - 10.1134/S1063779612050218
DO - 10.1134/S1063779612050218
M3 - Article
AN - SCOPUS:84866463315
VL - 43
SP - 569
EP - 576
JO - Physics of particles and nuclei
JF - Physics of particles and nuclei
SN - 1063-7796
IS - 5
ER -