Abstract
It was known that one-point functions in the ABJM matrix model (obtained by applying the localization technique to one-point functions of the half-BPS Wilson loop operator in the ABJM theory) satisfy the Jacobi-Trudi formula, which strongly indicates the integrable structure of the system. In this paper, we identify the integrable structure of two-point functions in the ABJM matrix model as the two-dimensional Toda lattice hierarchy. The identification implies infinitely many non-linear differential equations for the generating function of the two-point functions.
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Furukawa, T., Moriyama, S. ABJM matrix model and 2D Toda lattice hierarchy. J. High Energ. Phys. 2019, 197 (2019). https://doi.org/10.1007/JHEP03(2019)197
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DOI: https://doi.org/10.1007/JHEP03(2019)197