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Title: Periodic monopoles
Author: Maldonado, Rafael
ISNI:       0000 0004 5366 7589
Awarding Body: Durham University
Current Institution: Durham University
Date of Award: 2014
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This thesis discusses periodic one dimensional arrays of BPS monopoles. An approximation based on the spectral curve is shown to provide an increasingly accurate description of the monopole fields in the limit of large monopole size to period ratio. Away from this limit the periodic monopole is studied by means of the Nahm transform, which leads to a dual system of Hitchin equations on a cylinder. A combination of analytical and numerical techniques is used to study the spatial symmetries of the periodic 2-monopole and its moduli space. In particular, the asymptotic moduli space metric is determined from the Nahm data, and symmetric one parameter families of monopole scattering processes are identified through the core of the moduli space. These ideas are readily applicable to higher charge periodic monopoles.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available