Kink Chains from Instantons on a Torus

Abstract

We describe how the procedure of calculating approximate solitons from instanton holonomies may be extended to the case of soliton crystals. It is shown how sine-Gordon kink chains may be obtained from CP1 instantons on a torus. These kink chains turn out to be remarkably accurate approximations to the true solutions. Some remarks on the relevance of this work to Skyrme crystals are also made.

latex 17 pages, DAMTP 94-77

References in corpus (1)

• Skyrme Crystal from a Twisted Instanton on a Four-Torus

Cited by in corpus (3)

• Seiberg-Witten theory, monopole spectral curves and affine Toda solitons
• Hopf Solitons from Instanton Holonomy
• Sigma Model BPS Lumps on Torus