Skyrme model on S3 and Harmonic maps
Abstract
A non-linear sigma model mimicking the Skyrme model on S3 is proposed and a family of classical solutions to the equations are constructed numerically. The solutions terminate into catastrophe-like spikes at critical values of the Skyrme coupling constant and, when this constant is zero, they coincide with the series of Harmonic maps on S3 constructed some years ago by P. Bizon.
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