Singular monopoles from Cheshire bows

Chris D.A. Blair; Sergey A. Cherkis

doi:10.1016/j.nuclphysb.2010.11.014

Singular monopoles from Cheshire bows

Chris D.A. Blair, Sergey A. Cherkis

Research output: Contribution to journal › Article › peer-review

12 Scopus citations

Abstract

Singular monopoles are nonabelian monopoles with prescribed Dirac-type singularities. All of them are delivered by Nahm's construction. In practice, however, the effectiveness of the latter is limited to the cases of one or two singularities. We present an alternative construction of singular monopoles formulated in terms of Cheshire bows. To illustrate the advantages of our bow construction we obtain an explicit expression for one U(2) gauge group monopole with any given number of singularities of Dirac type.

Original language	English (US)
Pages (from-to)	140-164
Number of pages	25
Journal	Nuclear Physics B
Volume	845
Issue number	1
DOIs	https://doi.org/10.1016/j.nuclphysb.2010.11.014
State	Published - Apr 1 2011
Externally published	Yes

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1016/j.nuclphysb.2010.11.014

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title = "Singular monopoles from Cheshire bows",

abstract = "Singular monopoles are nonabelian monopoles with prescribed Dirac-type singularities. All of them are delivered by Nahm's construction. In practice, however, the effectiveness of the latter is limited to the cases of one or two singularities. We present an alternative construction of singular monopoles formulated in terms of Cheshire bows. To illustrate the advantages of our bow construction we obtain an explicit expression for one U(2) gauge group monopole with any given number of singularities of Dirac type.",

author = "Blair, {Chris D.A.} and Cherkis, {Sergey A.}",

note = "Funding Information: The work of C.B. is supported in part by the undergraduate summer internship of the School of Mathematics, Trinity College Dublin . S.Ch. is grateful to Edward Witten for discussions. ",

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AU - Blair, Chris D.A.

AU - Cherkis, Sergey A.

N1 - Funding Information: The work of C.B. is supported in part by the undergraduate summer internship of the School of Mathematics, Trinity College Dublin . S.Ch. is grateful to Edward Witten for discussions.

PY - 2011/4/1

Y1 - 2011/4/1

N2 - Singular monopoles are nonabelian monopoles with prescribed Dirac-type singularities. All of them are delivered by Nahm's construction. In practice, however, the effectiveness of the latter is limited to the cases of one or two singularities. We present an alternative construction of singular monopoles formulated in terms of Cheshire bows. To illustrate the advantages of our bow construction we obtain an explicit expression for one U(2) gauge group monopole with any given number of singularities of Dirac type.

AB - Singular monopoles are nonabelian monopoles with prescribed Dirac-type singularities. All of them are delivered by Nahm's construction. In practice, however, the effectiveness of the latter is limited to the cases of one or two singularities. We present an alternative construction of singular monopoles formulated in terms of Cheshire bows. To illustrate the advantages of our bow construction we obtain an explicit expression for one U(2) gauge group monopole with any given number of singularities of Dirac type.

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JO - Nuclear Physics B

JF - Nuclear Physics B

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Singular monopoles from Cheshire bows

Abstract

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