Instantons and Chern-Simons flows in 6, 7 and 8 dimensions

authored by

O. Lechtenfeld

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.

Organisation(s)

Institut für Theoretische Physik
Riemann Center for Geometry and Physics

Type

Artikel

Journal

Physics of particles and nuclei

Volume

43

Pages

569-576

No. of pages

8

ISSN

1063-7796

Publication date

09.2012

Publication status

Veröffentlicht

Peer reviewed

Yes

ASJC Scopus Sachgebiete

Kern- und Hochenergiephysik

Electronic version(s)

https://doi.org/10.1134/S1063779612050218 (Access: Unbekannt)