DATE: |
2011-03-08 11:00 - 12:00 |
PLACE: |
Kenkyu Honkan 1F, Meeting Room 1 |
TITLE: |
Non-Abelian Monopoles in the Higgs Phase |
CONTACT: |
tetsuji-AT-post.kek.jp |
SPEAKER: |
Dr. Walter Vinci (University of Minnesota) |
LANGUAGE: |
English |
URL: |
http://research.kek.jp/group/www-theory/schedule.html |
ABSTRACT: |
We use the moduli matrix approach to study the moduli space of 1/4 BPS kinks supported by vortices in the Higgs phase of N=2 supersymmetric U(N) gauge theories when non-zero masses for the matter hypermultiplets are introduced. We focus on the case of degenerate masses. In these special cases vortices acquire new orientational degrees of freedom, and become "non-Abelian". Kinks acquire new degrees of freedom too, and we will refer to them as "non-Abelian". As already noticed for the Abelian case, non-Abelian kinks must correspond to non-Abelian monopoles of the unbroken phase of SU(N) Yang-Mills. We show, in some special cases, that the moduli spaces of the two objects are in one-to-one correspondence. We argue that the corre- spondence holds in the most general case. The consequence of our result is two-fold. First, it gives an alternative way to construct non-Abelian monopoles, in addition to other well- known techniques (Nahm transform, spectral curves, rational maps). Second, it opens the way to the study of the quantum physics of non- Abelian monopoles, by considering the simpler non-Abelian kinks. |
|