Discrete Toda Field Equations

Details Discrete Toda Field Equations Discrete Toda Field Equations

1995-02-08

arxiv.org/abs/solv-int/9502002v1

Physics

High Energy Physics

High Energy Physics - Theory

7 pages, plainTeX

Scientific paper

10.1016/0375-9601(95)00108-F

There are two-dimensional Toda field equations corresponding to each (finite or affine) Lie algebra. The question addressed in this note is whether there exist integrable discrete versions of these. It is shown that for certain algebras (such as $A_n$, $A_n^{(1)}$ and $B_n$) there do, but some of these systems are defined on the half-plane rather than the full two-dimensional lattice.

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