English

SU(N) monopoles with and without SUSY

High Energy Physics - Theory 2007-05-23 v1

Abstract

These are expanded notes of lectures given at the Advanced Summer School on Modern Mathematical Physics (JINR Dubna, July 2005) and at the 8th International School-Seminar ``The actual problems of microworld physics 2005'' (Gomel-Dubna, August 2005). I review classical monopole solutions of the SU(N) Yang-Mills-Higgs theory. The first part is a pedagogical introduction into to the theory of non-Abelian SU(2) monopoles. In the second part I discuss a particular case of SU(3) theories containing different limits of symmetry breaking. It turns out that the multimonopole configurations are natural in a model with the gauge group of higher rank. Here I discuss fundamental and composite monopoles and consider the limiting situation of the massless states. In the last part I briefly discuss construction of the N=2N = 2 SU(2) supersymmetric monopoles and some of the basic properties which are connected with the field theoretical aspects of these classical solutions.

Keywords

Cite

@article{arxiv.hep-th/0508210,
  title  = {SU(N) monopoles with and without SUSY},
  author = {Yasha Shnir},
  journal= {arXiv preprint arXiv:hep-th/0508210},
  year   = {2007}
}

Comments

58 pages, 10 figures. Invited lectures given at the Advanced Summer School on Modern Mathematical Physics (JINR Dubna, July 2005) and at the 8th International School-Seminar ``The Actual Problems of Microworld Physics 2005'' (Gomel-Dubna, August 2005)