A B-twisted Landau-Ginzburg model plus topological gravity on the worldsheet is shown to be the exact dual of any interacting one-matrix model, with matrix traces mapping directly to vertex operators and correlators agreeing to all orders in genus and 't Hooft coupling.
Dijkgraaf, Intersection theory, integrable hierarchies and topological field theory, inNew Symmetry Principles in Quantum Field Theory(Springer, 1992) pp
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Worldsheet Duals to One-Matrix Models
A B-twisted Landau-Ginzburg model plus topological gravity on the worldsheet is shown to be the exact dual of any interacting one-matrix model, with matrix traces mapping directly to vertex operators and correlators agreeing to all orders in genus and 't Hooft coupling.