The perturbative studies of gauge theories in asymptotics related to high energy scattering revealed symmetry pattern leading to integrable quantum chains, generalizations of the Heisenberg spin chain proposed as a model of magnetism. The same symmetry pattern appear also in studies of the duality between gauge and string theory.
The applications to gauge theories require a suitable reformulation of known results of the theory of quantum integrable systems called also Quantum inverse scattering method.
The new formulation opened a perspective which allowed to derive new results. In particular explicit results about constructive elements of integrable quantum systems, solutions of Yang-Baxter relations, Baxter operators and the related symmetry operator algebras have been obtained.
authors: A.P. Isaev, D. Karakhanyan, R. Kirschner
authors: J. Fuksa, R. Kirschner
For references and papers please consult INSPIRES
S.E. Derkachov (St. Petersburg),
A.P Isaev (Dubna),
G. Korchemsky (Paris-Orsay),
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