Noncommutative Solitons and Integrable Systems

Masashi Hamanaka

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arXiv · hep-th/0504001

Noncommutative Solitons and Integrable Systems

Masashi Hamanaka

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Abstract

We 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.

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Masashi Hamanaka. 2005-08-25. Noncommutative Solitons and Integrable Systems. https://arxiv.org/abs/hep-th/0504001

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