Publications at the Riemann Center
Instantons and Chern-Simons flows in 6, 7 and 8 dimensions
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.
Details
- Organisation(s)
-
Institute of Theoretical Physics
Riemann Center for Geometry and Physics
- Type
- Article
- Journal
- Physics of particles and nuclei
- Volume
- 43
- Pages
- 569-576
- No. of pages
- 8
- ISSN
- 1063-7796
- Publication date
- 09.2012
- Publication status
- Published
- Peer reviewed
- Yes
- ASJC Scopus subject areas
- Nuclear and High Energy Physics
- Electronic version(s)
-
https://doi.org/10.1134/S1063779612050218 (Access:
Unknown
)
