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Physics of Particles and Nuclei

, Volume 43, Issue 5, pp 569–576 | Cite as

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

  • O. Lechtenfeld
Article

Abstract

The existence of K-instantons on a cylinder M7 = ℝτ × 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.

Keywords

Manifold High Energy Phys Coset Space Duality Condition Mill Equation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Pleiades Publishing, Ltd. 2012

Authors and Affiliations

  • O. Lechtenfeld
    • 1
  1. 1.Institut für Theoretische PhysikLeibniz Universität Hannover Appelstraße 2HannoverGermany

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