Periodic monopoles from spectral curves

Maldonado, R.

Abstract

We consider SU(2) Bogomolny equations on R2×S^1 and use the spectral curve defined by the holonomy in the periodic direction to approximate the fields in the limit of large size to period ratio. Symmetries of the Nahm transform allow a study of the effective two dimensional dynamics, which is compared with known results on the full moduli space. The techniques are applied to systems of higher charge and higher rank gauge group, allowing a direct comparison to other periodic Yang-Mills systems.

Citation

Maldonado, R. (2013). Periodic monopoles from spectral curves. Journal of High Energy Physics, 2013(2), Article 99. https://doi.org/10.1007/jhep02%282013%29099

• Journal Article Type: Article
• Publication Date: Feb 18, 2013
• Deposit Date: Jul 4, 2013
• Publicly Available Date: Sep 8, 2014
• Journal: Journal of High Energy Physics
• Print ISSN: 1126-6708
• Electronic ISSN: 1029-8479
• Publisher: Scuola Internazionale Superiore di Studi Avanzati (SISSA)
• Peer Reviewed: Peer Reviewed
• Volume: 2013
• Issue: 2
• Article Number: 99
• DOI: https://doi.org/10.1007/jhep02%282013%29099
• Keywords: Solitons monopoles and instantons, Differential and algebraic geometry.
• Public URL: https://durham-repository.worktribe.com/output/1450154