Non-Abelian monopoles in the Higgs phase

Muneto Nitta, Walter Vinci

Research output: Contribution to journalArticle

22 Citations (Scopus)

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 correspondence 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.

Original languageEnglish
Pages (from-to)121-154
Number of pages34
JournalNuclear Physics B
Volume848
Issue number1
DOIs
Publication statusPublished - 2011 Jul 1

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monopoles
degrees of freedom
vortices
gauge theory
physics
curves
matrices

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

Non-Abelian monopoles in the Higgs phase. / Nitta, Muneto; Vinci, Walter.

In: Nuclear Physics B, Vol. 848, No. 1, 01.07.2011, p. 121-154.

Research output: Contribution to journalArticle

Nitta, Muneto ; Vinci, Walter. / Non-Abelian monopoles in the Higgs phase. In: Nuclear Physics B. 2011 ; Vol. 848, No. 1. pp. 121-154.
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