Toda systems
نویسندگان
چکیده
منابع مشابه
Affine Toda-Sutherland Systems
A cross between two well-known integrable multi-particle dynamics, an affine Toda molecule and a Sutherland system, is introduced for any affine root system. Though it is not completely integrable but partially integrable, or quasi exactly solvable, it inherits many remarkable properties from the parents. The equilibrium position is algebraic, i.e. proportional to the Weyl vector. The frequenci...
متن کاملFrenet Frames and Toda Systems
It is shown that the integrability conditions of the equations satisfied by the local Frenet frame associated with a holomorphic curve in a complex Grassmann manifold coincide with a special class of nonabelian Toda equations. A local moving frame of a holomorphic immersion of a Riemann surface into a complex Grassmann manifold is constructed and the corresponding connection coefficients are ca...
متن کاملToda Systems and Hypergeometric Equations
This paper establishes certain existence and classification results for solutions to SU(n) Toda systems with three singular sources at 0, 1, and∞. First, we determine the necessary conditions for such an SU(n) Toda system to be related to an nth order hypergeometric equation. Then, we construct solutions for SU(n) Toda systems that satisfy the necessary conditions and also the interlacing condi...
متن کاملHolomorphic Curves and Toda Systems *
Geometry of holomorphic curves from point of view of open Toda systems is discussed. Parametrization of curves related this way to non-exceptional simple Lie algebras is given. This gives rise to explicit formulas for minimal surfaces in real, complex and quaternionic projective spaces or complex quadrics. The paper generalizes the well known connection between minimal surfaces in E3, their Wei...
متن کاملToda systems in closed string tachyon condensation
We consider tt∗ equations appearing in the study of localized tachyon condensations. They are described by various Toda system when we consider the condensation by the lowest tachyon corresponding to the monomial xy. The tachyon potential is calculated as a solution to these equations. The Toda system appearing in the deformation of C/Zn by xy is identical to that of Dn singularity deformed by ...
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ژورنال
عنوان ژورنال: Physica D: Nonlinear Phenomena
سال: 2013
ISSN: 0167-2789
DOI: 10.1016/j.physd.2013.01.001