Separation of variables for the D n type periodic Toda lattice
نویسنده
چکیده
We prove separation of variables for the most general (Dn type) periodic Toda lattice with 2 × 2 Lax matrix. It is achieved by finding proper normalisation for the corresponding Baker-Akhiezer function. Separation of variables for all other periodic Toda lattices associated with infinite series of root systems follows by taking appropriate limits.
منابع مشابه
Separation of Variables and Vacuum Structure of Massive N=2 Susy Qcd
We show how the method of separation of variables can be used to construct integrable models corresponding to curves describing vacuum structure of N = 2 SUSY Yang-Mills theories. In particular, we consider hyperelliptic curves of N = 2 SUSY QCD with even number of hypermultiplets with pairwise coinciding masses. We show that in the SU(3) case the curves correspond to the generalisations of the...
متن کاملGlobal action-angle variables for the periodic Toda lattice
In this paper we construct global action-angle variables for the periodic Toda lattice.
متن کاملNekhoroshev theorem for the periodic Toda lattice.
The periodic Toda lattice with N sites is globally symplectomorphic to a two parameter family of N-1 coupled harmonic oscillators. The action variables fill out the whole positive quadrant of R(N-1). We prove that in the interior of the positive quadrant as well as in a neighborhood of the origin, the Toda Hamiltonian is strictly convex and therefore Nekhoroshev's theorem applies on (almost) al...
متن کاملSeparation of Variables and Vacuum Structure of N = 2 Susy Qcd
We show how the method of separation of variables can be used to construct integrable models corresponding to curves describing vacuum structure of four-dimensional N = 2 SUSY Yang-Mills theories. We use this technique to construct models corresponding to SU(N) Yang-Mills theory with Nf < 2N matter hypermultiplets by generalising the periodic Toda lattice. We also show that some special cases o...
متن کاملSurfaces associated with theta function solutions of the periodic 2D-Toda lattice
The objective of this paper is to present some geometric aspects of surfaces associated with theta function solutions of the periodic 2D-Toda lattice. For this purpose we identify the (N − 1)-dimensional Euclidean space with the su(N) algebra which allows us to construct the generalized Weierstrass formula for immersion for such surfaces. The elements characterizing surface like its moving fram...
متن کامل