Higher genus correlators for the hermitian matrix model with multiple cuts

  title={Higher genus correlators for the hermitian matrix model with multiple cuts},
  author={Gernot Akemann},
An iterative scheme is set up for solving the loop equation of the her-mitian one-matrix model with a multi-cut structure. Explicit results are presented for genus one for an arbitrary but finite number of cuts. Due to the complicated form of the boundary conditions, the loop correlators now contain elliptic integrals. This demonstrates the existence of new uni-versality classes for the hermitian matrix model. The two-cut solution is investigated in more detail, including the double-scaling… CONTINUE READING
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