Holomorphic Anomaly in Gauge Theories and Matrix Models

  title={Holomorphic Anomaly in Gauge Theories and Matrix Models},
  author={Min-xin Huang and Albrecht Klemm},
We use the holomorphic anomaly equation to solve the gravitational corrections to Seiberg-Witten theory and a two-cut matrix model, which is related by the Dijkgraaf-Vafa conjecture to the topological B-model on a local CalabiYau manifold. In both cases we construct propagators that give a recursive solution in the genus modulo a holomorphic ambiguity. In the case of SeibergWitten theory the gravitational corrections can be expressed in closed form as quasimodular functions of Γ(2). In the… CONTINUE READING
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