Commuting flows and conservation laws for noncommutative Lax hierarchies
- M. Hamanaka
- Mathematics
- 24 November 2003
We discuss commuting flows and conservation laws for Lax hierarchies on noncommutative spaces in the framework of the Sato theory. On commutative spaces, the Sato theory has revealed essential…
Noncommutative Solitons and D-branes
- M. Hamanaka
- Mathematics
- 31 March 2003
This thesis focuses on noncommutative instantons and monopoles and study various aspects of the exact solutions by using Atiyah-Drinfeld-Hitchin-Manin (ADHM) and Nahm constructions, and proposes noncommuter extensions of integrable systems and soliton theories in lower dimensions in collaboration with Kouichi Toda.
On exact noncommutative BPS solitons
- M. Hamanaka, S. Terashima
- Physics
- 25 October 2000
We construct new exact BPS solitons in various noncommutative gauge theories by the ``gauge'' transformation of known BPS solitons. This ``gauge'' transformation introduced by Harvey, Kraus and…
Towards Noncommutative Integrable Systems
- M. Hamanaka, K. Toda
- Mathematics
- 18 November 2002
On reductions of noncommutative anti-self-dual Yang-Mills equations
- M. Hamanaka
- Mathematics
- 12 July 2005
Towards Noncommutative Integrable Equations
- M. Hamanaka, K. Toda
- Mathematics
- 30 September 2003
We study the extension of integrable equations which possess the Lax representations to noncommutative spaces. We construct various noncommutative Lax equations by the Lax-pair generating technique…
Hyper-Kähler metrics from monopole walls
- M. Hamanaka, H. Kanno, Daichi Muranaka
- Physics, Mathematics
- 27 November 2013
We present ALH hyperkahler metrics induced from well-separated SU(2) monopole walls which are equivalent to monopoles on T^2 x R. The metrics are explicitly obtained due to Manton's observation by…
New soliton solutions of anti-self-dual Yang-Mills equations
- M. Hamanaka, Shan-Chi Huang
- MathematicsJournal of High Energy Physics
- 1 April 2020
We study exact soliton solutions of anti-self-dual Yang-Mills equations for G = GL(2) in four-dimensional spaces with the Euclidean, Minkowski and Ultrahyperbolic signatures and construct special…
ADHM / Nahm construction of localized solitons in noncommutative gauge theories
- M. Hamanaka
- Physics
- 10 September 2001
We study the relationship between ADHM/Nahm construction and “solution generating technique” of BPS solitons in noncommutative gauge theories. ADHM/Nahm construction and “solution generating…
Noncommutative solitons and quasideterminants
- M. Hamanaka
- Mathematics
- 29 December 2010
We discuss an extension of soliton theory and integrable systems to noncommutative spaces, focusing on integrable aspects of noncommutative anti-self-dual Yang–Mills equations. We give a wide class…
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