The solution to a generalized Toda lattice and representation theory
نویسندگان
چکیده
منابع مشابه
Toda Lattice Hierarchy and Generalized String Equations
String equations of the p-th generalized Kontsevich model and the compactified c = 1 string theory are re-examined in the language of the Toda lattice hierarchy. As opposed to a hypothesis postulated in the literature, the generalized Kontsevich model at p = −1 does not coincide with the c = 1 string theory at self-dual radius. A broader family of solutions of the Toda lattice hierarchy includi...
متن کاملDeformed Minimal Models and Generalized Toda Theory
We introduce a generalization of Ar-type Toda theory based on a non-abelian group G, which we call the (Ar, G)-Toda theory, and its affine extensions in terms of gauged Wess-Zumino-Witten actions with deformation terms. In particular, the affine (A1, SU(2))Toda theory describes the integrable deformation of the minimal conformal theory for the critical Ising model by the operator Φ(2,1). We der...
متن کاملA Toda lattice in dimension 2 and Nevanlinna theory
It is shown how to study the 2-D Toda system for SU(n+1) using Nevanlinna theory of meromorphic functions and holomorphic curves. The results generalize recent results of Jost – Wang and Chen – Li. We consider the 2-dimensional open Toda system for SU(n + 1): − 2 ∆uj = −ej−1 + 2ej − ej+1, 1 ≤ j ≤ n, u0 = un+1 = 0, (1) where uj are smooth functions in the complex plane C, and n is a positive int...
متن کاملFrom the Toda Lattice to the Volterra Lattice and Back
We discuss the relationship between the multiple Hamiltonian structures of the generalized Toda lattices and that of the generalized Volterra lattices.
متن کاملThe Toda Lattice
This motivates the following definition. Definition 1.2. A conserved quantity in a Hamiltonian system is a smooth function f ∈ C∞(M) such that {f,H} = 0. Remark 1.3. If you’re familiar with the Lagrangian model of classical mechanics, you can derive the above setup from a Lagrangian field theory on the real line R, i.e. from classical Lagrangian mechanics. There’s a classical procedure for doin...
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: Advances in Mathematics
سال: 1979
ISSN: 0001-8708
DOI: 10.1016/0001-8708(79)90057-4