کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1843420 | 1031543 | 2006 | 22 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Non-commutative Ward's conjecture and integrable systems
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
فیزیک ریاضی
پیش نمایش صفحه اول مقاله

چکیده انگلیسی
Non-commutative Ward's conjecture is a non-commutative version of the original Ward's conjecture which says that almost all integrable equations can be obtained from anti-self-dual Yang-Mills equations by reduction. In this paper, we prove that wide class of non-commutative integrable equations in both (2+1)- and (1+1)-dimensions are actually reductions of non-commutative anti-self-dual Yang-Mills equations with finite gauge groups, which include non-commutative versions of Calogero-Bogoyavlenskii-Schiff equation, Zakharov system, Ward's chiral and topological chiral models, (modified) Korteweg-de Vries, non-linear Schrödinger, Boussinesq, N-wave, (affine) Toda, sine-Gordon, Liouville, Tzitzéica, (Ward's) harmonic map equations, and so on. This would guarantee existence of twistor description of them and the corresponding physical situations in N=2 string theory, and lead to fruitful applications to non-commutative integrable systems and string theories. Some integrable aspects of them are also discussed.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nuclear Physics B - Volume 741, Issue 3, 8 May 2006, Pages 368-389
Journal: Nuclear Physics B - Volume 741, Issue 3, 8 May 2006, Pages 368-389
نویسندگان
Masashi Hamanaka,