Self-Dual and Anti-Self-Dual Solutions of Discrete Yang-Mills Equations on a Double Complex
نویسندگان
چکیده
منابع مشابه
On Reductions of Noncommutative Anti-Self-Dual Yang-Mills Equations
In this paper, we show that various noncommutative integrable equations can be derived from noncommutative anti-self-dual Yang-Mills equations in the split signature, which include noncommutative versions of Korteweg-de Vries, Non-Linear Schrödinger, N -wave, Davey-Stewartson and Kadomtsev-Petviashvili equations. U(1) part of gauge groups for the original Yang-Mills equations play crucial roles...
متن کاملAnti-self-dual Yang-Mills equations on noncommutative spacetime
By replacing the ordinary product with the so called ⋆-product, one can construct an analogue of the anti-self-dual Yang-Mills (ASDYM) equations on the noncommutative R4. Many properties of the ordinary ASDYM equations turn out to be inherited by the ⋆-product ASDYM equation. In particular, the twistorial interpretation of the ordinary ASDYM equations can be extended to the noncommutative R 4, ...
متن کاملOn Infinitesimal Symmetries of the Self-dual Yang-mills Equations
An infinite-dimensional algebra of all infinitesimal transformations of solutions to the self-dual Yang-Mills equations is described. As subalgebras it contains the infinitedimensional algebras of hidden symmetries related to gauge and conformal transformations.
متن کاملSelf-dual and non-self dual axially symmetric caloron solutions in SU(2) Yang-Mills theory
New static regular axially symmetric solutions of SU(2) Euclidean Yang-Mills theory are constructed numerically. They represent calorons having non-trivial Polyakov loop at spacial infinity. The solutions are labeled by two integers m,n. It is shown that besides known, charge one self-dual periodic instanton solution, there are other non-self dual solutions of the Yang-Mills equations naturally...
متن کاملConformal Symmetries of the Self-Dual Yang-Mills Equations
We describe an infinite-dimensional Kac-Moody-Virasoro algebra of new hidden symmetries for the self-dual Yang-Mills equations related to conformal transformations of the 4-dimensional base space. On leave of absence from Bogoliubov Laboratory of Theoretical Physics, JINR, Dubna, Russia
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Cubo (Temuco)
سال: 2010
ISSN: 0719-0646
DOI: 10.4067/s0719-06462010000300007