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.
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Chekhov, L.O. Genus-One Correction to Multicut Matrix Model Solutions. Theoretical and Mathematical Physics 141, 1640–1653 (2004). https://doi.org/10.1023/B:TAMP.0000049759.01361.79
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DOI: https://doi.org/10.1023/B:TAMP.0000049759.01361.79