Classical three-point functions in Liouville theory and for AdS2 strings can be derived from ODE/IM-style functional equations, with the Liouville result matching the DOZZ formula and the AdS2 result expressed through dilogarithm integrals.
Classical Limit of the Three-Point Function from Integrability
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abstract
We give analytic expression for the three-point function of three large classical non-BPS operators N=4 Super-Yang-Mills theory at weak coupling. We restrict ourselves to operators belonging to an su(2) sector of the theory. In order to carry out the calculation we derive, by unveiling a hidden factorization property, the thermodynamical limit of Slavnov's determinant.
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Liouville Theory, AdS$_2$ String, and Three-Point Functions
Classical three-point functions in Liouville theory and for AdS2 strings can be derived from ODE/IM-style functional equations, with the Liouville result matching the DOZZ formula and the AdS2 result expressed through dilogarithm integrals.