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MONOPOLES, BRAID-GROUPS, AND THE DIRAC OPERATOR
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UNSPECIFIED (1993) MONOPOLES, BRAID-GROUPS, AND THE DIRAC OPERATOR. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 158 (2). pp. 241-266. ISSN 0010-3616
Full text not available from this repository.Abstract
Using the relation between the space of rational functions on C, the space of SU(2)-monopoles on R3, and the classifying space of the braid group, see [10], we show how the index bundle of the family of real Dirac operators coupled to SU(2)-monopoles can be described using permutation representations of Artin's braid groups. We also show how this implies the existence of a pair consisting of a gauge field A and a Higgs field PHI on R3 whose corresponding Dirac equation has an arbitrarily large dimensional space of solutions.
| Item Type: | Journal Article |
|---|---|
| Subjects: | Q Science > QC Physics |
| Journal or Publication Title: | COMMUNICATIONS IN MATHEMATICAL PHYSICS |
| Publisher: | SPRINGER VERLAG |
| ISSN: | 0010-3616 |
| Date: | November 1993 |
| Volume: | 158 |
| Number: | 2 |
| Number of Pages: | 26 |
| Page Range: | pp. 241-266 |
| Publication Status: | Published |
| URI: | http://wrap.warwick.ac.uk/id/eprint/20923 |
Data sourced from Thomson Reuters' Web of Knowledge
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