SDYM equations on the self-dual background
نویسندگان
چکیده
منابع مشابه
On 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 anyons in uniform background fields.
We study relativistic self-dual Chern-Simons-Higgs systems in the presence of uniform background fields that explicitly break CTP. A rich, but discrete vacuum structure is found when the gauge symmetry is spontaneously broken, while the symmetric phase can have an infinite vacuum degeneracy at tree level. The latter is due to the proliferation of neutral solitonic states that cost zero energy. ...
متن کاملFermions coupled with self - dual vortex background on a torus ∗
Abstract: We study fermionic zero modes in the self-dual vortex background on an extra torus in 5+1 dimensions. It is shown that the self-dual vortex arises from the symmetric phase and the asymmetric phase of Higgs field in the context of generalized Abelian Higgs model. Then we analyze the Dirac operator on the extra two-dimensional space and the effective Lagrangian of four-dimensional fermi...
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 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 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: Journal of Physics A: Mathematical and Theoretical
سال: 2017
ISSN: 1751-8113,1751-8121
DOI: 10.1088/1751-8121/aa6ace