Matrix models as conformal field theories: genus expansion

Details Matrix models as conformal field theories: genus expansion Matrix models as conformal field theories: genus expansion

2009-12-11

arxiv.org/abs/0912.2137v2

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, 4 figures

Scientific paper

We obtain the topological expansion of the hermitian matrix model using its representation as a CFT on a hyperelliptic Riemann surface. To each branch point of the Riemann surface we associate an operator which represents a twist field dressed by the modes of the twisted boson. The partition function of the matrix model is computed as a correlation function of such dressed twist fields. The perturbative construction of the dressing operators yields a set of Feynman rules for evaluating the free energy and the loop observables at any genus.

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