Higher genus correlators for the hermitian matrix model with multiple cuts

Details Higher genus correlators for the hermitian matrix model with multiple cuts Higher genus correlators for the hermitian matrix model with multiple cuts

1996-06-03

arxiv.org/abs/hep-th/9606004v2

Nucl.Phys. B482 (1996) 403-430

Physics

High Energy Physics

High Energy Physics - Theory

25 pages, Latex file, 1 figure. One reference added

Scientific paper

10.1016/S0550-3213(96)00542-1

An iterative scheme is set up for solving the loop equation of the hermitian 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 universality classes for the hermitian matrix model. The two-cut solution is investigated in more detail, including the double-scaling limit. It is shown, that in special cases it differs from the known continuum solution with one cut.

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