Topological solitons in the supersymmetric Skyrme model

Abstract

A supersymmetric extension of the Skyrme model was obtained recently, which consists of only the Skyrme term in the Nambu-Goldstone (pion) sector complemented by the same number of quasi-Nambu-Goldstone bosons. Scherk-Schwarz dimensional reduction yields a kinetic term in three or lower dimensions and a potential term in two dimensions, preserving supersymmetry. Euclidean solitons (instantons) are constructed in the supersymmetric Skyrme model. In four dimensions, the soliton is an instanton first found by Speight. Scherk-Schwarz dimensional reduction is then performed once to get a 3-dimensional theory in which a 3d Skyrmion-instanton is found and then once more to get a 2d theory in which a 2d vortex-instanton is obtained. Although the last one is a global vortex it has finite action in contrast to conventional theory. All of them are non-BPS states breaking all supersymmetries.

LaTeX: 20 pages, 3 figures; V2: typos corrected

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• Self-dual solitons in a Maxwell-Chern-Simons baby Skyrme model
• Solitonic ground state in supersymmetric theory in background
• Higher Derivative Supersymmetric Nonlinear Sigma Models on Hermitian Symmetric Spaces, and BPS States Therein
• Near-BPS Skyrmions
• Restricted baby Skyrme-Maxwell theory in a magnetic medium: BPS configurations and some properties
• Existence of a supersymmetric extension of the gauged non-linear $\Sigma$-model and the transition from integrability to chaos
• Vacua by Derivative Corrections in $\mathcal{N}=1$ Supergravity with Matter Multiplets
• Self-dual solitons in a Born-Infeld baby Skyrme model