Instanton vibrations of the 3-Skyrmion

Abstract

The Atiyah-Drinfeld-Hitchin-Manin matrix corresponding to a tetrahedrally symmetric 3-instanton is calculated. Some small variations of the matrix correspond to vibrations of the instanton-generated 3-Skyrmion. These vibrations are decomposed under tetrahedral symmetry and this decomposition is compared to previous knowledge of the 3-Skyrmion vibration spectrum.

10 pages, LaTeX, no figures, PRD version with longer introduction and minor changes

References in corpus (4)

• Rational Maps, Monopoles and Skyrmions
• Symmetric Skyrmions
• Symmetric Instantons and Skyrme Fields
• Vibrational spectrum of the B=7 Skyrme soliton

Cited by in corpus (13)

• Homotopy of Rational Maps and the Quantization of Skyrmions
• Vibrational modes of Skyrmions
• Platonic hyperbolic monopoles
• ADHM skyrmions
• Vibrational spectrum of the B=7 Skyrme soliton
• A consistent two-skyrmion configuration space from instantons
• Spectral curves of hyperbolic monopoles from ADHM
• Constrained instantons and kink-antikink collisions
• Nucleon-nucleon potential from instanton holonomies
• Hopf Solitons from Instanton Holonomy
• Approximating the parallel transport of an induced connection
• Quantization of skyrmions using instantons
• Instantons with continuous conformal symmetries: Hyperbolic and singular monopoles and more, oh my!