A dual resonance model solves the Yang - Baxter equation

Abstract

The duality of dual resonance models is shown to imply that the four point string correlation function solves the Yang-Baxter equation. A reduction of transfer matrices to A l symmetry is described by a restriction of the KP τ function to Toda molecules.

Complex analysis of a piece of Toda lattice

“…If we had chosen other set of variables, HBDE looked more symmetric and the corresponding Toda atom could be either cubic or octahedron[11]. We have used asymmetric variables such that deformations can be discussed.…”

Symmetrization of the Berezin Star Product and Path-Integral Quantization

“…The string correlation functions have been well studied and known to appear as solutions to completely integrable systems, such as the Hirota bilinear identity [22] or the Yang-Baxter equation [23]. The duality has also relation to the pentagon equation [24].…”

Finite-dimensional analogues of the strings↔t duality and the pentagon equation

“…We are mostly interested in its relations with integrable models. So, let us mention here the string-soliton correspondence [1,2,4] and the fact that the string amplitudes satisfy the Yang-Baxter equation [3].…”