Higher Genus Correlators from the Hermitian One-Matrix Model

Details Higher Genus Correlators from the Hermitian One-Matrix Model Higher Genus Correlators from the Hermitian One-Matrix Model

1992-03-04

arxiv.org/abs/hep-th/9203009v2

Phys.Lett. B282 (1992) 341-348

Physics

High Energy Physics

High Energy Physics - Theory

11 pages

Scientific paper

10.1016/0370-2693(92)90649-O

We develop an iterative algorithm for the genus expansion of the hermitian $N\times N$ one-matrix model ( = the Penner model in an external field). By introducing moments of the external field, we prove that the genus $g$ contribution to the $m$-loop correlator depends only on $3g-2+m$ lower moments ($3g-2$ for the partition function). We present the explicit results for the partition function and the one-loop correlator in genus one. We compare the correlators for the hermitian one-matrix model with those at zero momenta for $c=1$ CFT and show an agreement of the one-loop correlators for genus zero.

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