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

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Original languageEnglish
Pages (from-to)569-576
Number of pages8
JournalPhysics of particles and nuclei
Volume43
Issue number5
Publication statusPublished - 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.

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Instantons and Chern-Simons flows in 6, 7 and 8 dimensions. / Lechtenfeld, O.
In: Physics of particles and nuclei, Vol. 43, No. 5, 09.2012, p. 569-576.

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