{ "id": "1012.4057", "version": "v2", "published": "2010-12-18T04:15:51.000Z", "updated": "2011-03-01T02:05:21.000Z", "title": "Non-Abelian Monopoles in the Higgs Phase", "authors": [ "Muneto Nitta", "Walter Vinci" ], "comment": "37 pages, no figures; v2: refs. added", "journal": "Nucl.Phys.B848:121-154,2011", "doi": "10.1016/j.nuclphysb.2011.02.014", "categories": [ "hep-th", "hep-ph", "math-ph", "math.MP" ], "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.", "revisions": [ { "version": "v2", "updated": "2011-03-01T02:05:21.000Z" } ], "analyses": { "keywords": [ "higgs phase", "special cases vortices acquire", "moduli space", "construct non-abelian monopoles", "moduli matrix approach" ], "tags": [ "journal article" ], "publication": { "publisher": "Elsevier", "journal": "Nuclear Physics B", "year": 2011, "month": "Jul", "volume": 848, "number": 1, "pages": 121 }, "note": { "typesetting": "TeX", "pages": 37, "language": "en", "license": "arXiv", "status": "editable", "inspire": 881872, "adsabs": "2011NuPhB.848..121N" } } }