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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.
Research output not available from this repository, contact author.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 | ||||
| Official Date: | November 1993 | ||||
| Dates: |
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| Volume: | 158 | ||||
| Number: | 2 | ||||
| Number of Pages: | 26 | ||||
| Page Range: | pp. 241-266 | ||||
| Publication Status: | Published |
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