Integrals of motion of classical lattice sine-Gordon system

Details Integrals of motion of classical lattice sine-Gordon system Integrals of motion of classical lattice sine-Gordon system

1994-09-14

arxiv.org/abs/hep-th/9409075v2

Theor.Math.Phys.103:738-756,1995; Teor.Mat.Fiz.103:507-528,1995

Physics

High Energy Physics

High Energy Physics - Theory

(references added)

Scientific paper

10.1007/BF02065872

We compute the local integrals of motions of the classical limit of the lattice sine-Gordon system, using a geometrical interpretation of the local sine-Gordon variables. Using an analogous description of the screened local variables, we show that these integrals are in involution. We present some remarks on relations with the situation at roots of 1 and results on another latticisation (linked to the principal subalgebra of $\widehat{s\ell}_{2}$ rather than the homogeneous one). Finally, we analyse a module of ``screened semilocal variables'', on which the whole $\widehat{s\ell}_{2}$ acts.

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