Noncommutative Solitons and Integrable Systems

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dc.creatorHamanaka, Masashi
dc.date2005-03-31
dc.date2005-08-25
dc.date.accessioned2026-07-07T04:18:13Z
dc.date.available2026-07-07T04:18:13Z
dc.descriptionWe review recent developments of soliton theories and integrable systems on noncommutative spaces. The former part is a brief review of noncommutative gauge theories focusing on ADHM construction of noncommutative instantons. The latter part is a report on recent results of existence of infinite conserved quantities and exact multi-soliton solutions for noncommutative Gelfand-Dickey hierarchies. Some examples of noncommutative Ward's conjecture are also presented. Finally, we discuss future directions on noncommutative Sato's theories, twistor theories and so on.
dc.description27 pages, LaTeX, 3 figures, v3: references added, to appear in proceedings of the COE workshop on Noncommutative Geometry and Physics, Keio, February 26 - March 3, 2004
dc.identifierhttps://arxiv.org/abs/hep-th/0504001
dc.identifierhttp://arxiv.org/abs/hep-th/0504001
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/53085
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.subjectExactly Solvable and Integrable Systems
dc.titleNoncommutative Solitons and Integrable Systems
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