Study of gauge/string duality based on integrability

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The gauge/string duality states that certain gauge theories and theories of string/gravity are just different descriptions of the same theories. We studied this duality based on the integrability behind it. Especially, we found that gluon scattering amplitudes of a supersymmetric gauge theory at strong coupling are obtained through thermodynamic Bethe ansatz equations of a class of two-dimensional integrable models called Homogenous sine-Gordon models, which give finite size effects of two-dimensional integrable models. Based on this fact, we also showed that the amplitudes are analytically evaluated around certain momentum configurations by the two-dimensional conformal perturbation theory.