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Genus-One Correction to Multicut Matrix Model Solutions
Authors:Chekhov  L O
Institution:(1) Steklov Mathematical Institute, RAS, Moscow, Russia
Abstract:We calculate genus-one corrections to the Hermitian one-matrix model solution with an arbitrary number of cuts based on the loop equation, confirming the answer previously obtained from algebro-geometric considerations and generalizing it to the case of arbitrary potentials.
Keywords:loop equation  genus expansion  hyperelliptic geometry
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