Multicloud solutions with massless and massive monopoles

Conor J. Houghton, Erick J. Weinberg

Research output: Contribution to journalArticle (Academic Journal)peer-review

12 Citations (Scopus)
307 Downloads (Pure)


Certain spontaneously broken gauge theories contain massless magnetic monopoles. These are realized classically as clouds of non-Abelian fields surrounding one or more massive monopoles. In order to gain a better understanding of these clouds, we study BPS solutions with four massive and six massless monopoles in an SU(6) gauge theory. We develop an algebraic procedure, based on the Nahm construction, that relates these solutions to previously known examples. Explicit implementation of this procedure for a number of limiting cases reveals that the six massless monopoles condense into four distinct clouds, of two different types. By analyzing these limiting solutions, we clarify the correspondence between clouds and massless monopoles, and infer a set of rules that describe the conditions under which a finite size cloud can be formed. Finally, we identify the parameters entering the general solution and describe their physical significance.
Original languageEnglish
Article number125002
Number of pages27
JournalPhysical Review D: Particles and Fields
Issue number12
Early online date11 Dec 2002
Publication statusPublished - 15 Dec 2002

Bibliographical note

58 pages, 5 figures


  • hep-th


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