Please use this identifier to cite or link to this item:
https://hdl.handle.net/2440/3625
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Type: | Journal article |
Title: | A note on monopole moduli spaces |
Author: | Murray, M. Singer, M. |
Citation: | Journal of Mathematical Physics, 2003; 44(8):3517-3531 |
Publisher: | Amer Inst Physics |
Issue Date: | 2003 |
ISSN: | 0022-2488 1089-7658 |
Statement of Responsibility: | Michael K. Murray ; Michael A. Singer |
Abstract: | <jats:p>We discuss the structure of the framed moduli space of Bogomolny monopoles for arbitrary symmetry breaking and extend the definition of its stratification to the case of arbitrary compact Lie groups. We show that each stratum is a union of submanifolds for which we conjecture that the natural L2 metric is hyper-Kähler. The dimensions of the strata and of these submanifolds are calculated, and it is found that for the latter, the dimension is always a multiple of four.</jats:p> |
Rights: | © 2003 American Institute of Physics |
DOI: | 10.1063/1.1590056 |
Published version: | http://dx.doi.org/10.1063/1.1590056 |
Appears in Collections: | Aurora harvest Pure Mathematics publications |
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hdl_3625.pdf | Published version | 182.82 kB | Adobe PDF | View/Open |
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