Noncommutative Solitons and D-branes

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dc.creatorHamanaka, Masashi
dc.date2003-03-31
dc.date2005-10-04
dc.date.accessioned2026-07-07T06:21:15Z
dc.date.available2026-07-07T06:21:15Z
dc.descriptionThis thesis is designed for a comprehensive review of noncommutative (BPS) solitons with applications to D-brane dynamics including our works. We focus on noncommutative instantons and monopoles and study various aspects of the exact solutions by using Atiyah-Drinfeld-Hitchin-Manin (ADHM) and Nahm constructions. Finally we propose noncommutative extensions of integrable systems and soliton theories in lower dimensions in collaboration with Kouichi Toda, which would pioneer a new study area of integrable systems. Appendix is devoted to a brief and systematic review of formal aspects of ADHM/Nahm construction and Nahm transformation on commutative spaces. This article is also a step to a comprehensive review of ADHM/Nahm construction on both commutative and noncommutative spaces. Comments are welcome.
dc.description117 pages, 22 figures, LaTeX; This is based on my Ph.D thesis
dc.identifierhttps://arxiv.org/abs/hep-th/0303256
dc.identifierhttp://arxiv.org/abs/hep-th/0303256
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/95542
dc.subjectHigh Energy Physics - Theory
dc.subjectHigh Energy Physics - Lattice
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectMathematical Physics
dc.subjectExactly Solvable and Integrable Systems
dc.titleNoncommutative Solitons and D-branes
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