Topological Solitons

This is the page for the short graduate course in topological solitons for the academic year 2016-17. If you need any more help with the course or you find any typos/mistakes either email me or come and see me in my office.

Book Recomendations:

    Topological Solitons
    N.S. Manton and P.M. Sutcliffe
    Cambridge Monographs on Mathematical Physics,
    Cambridge University Press (2004).
    The best source of information on the general subject of topoloigcal solitons. A very accesable look at kinks, lumps, Skyrmions, vorticies, monopoles and instantons to name but a few.

    Superfluid States of Matter
    B.V. Svistunov, E.S. Babaev and N.V. Prokof'ev
    Cambridge Monographs on Mathematical Physics,
    CRC Press (2015).
    A great source of information on vorticies in Ginzberg-Landau models as well as the applications to condensed matter systems.

Lecture Notes:

  • Lecture 1 - Introduction to homotopy theory and the topology of topological solitons - notes
  • Lecture 2 - Simple soliton models, Kinks and nonlinear sigma models - notes
  • Lecture 3 - Ginzberg-Landau and vorticies - notes
  • Lecture 4 - Skyrme model and nuclear physics - notes