Multi-loop correlators for rational theories of 2D gravity from the generalized Kontsevich models

Details Multi-loop correlators for rational theories of 2D gravity from the generalized Kontsevich models Multi-loop correlators for rational theories of 2D gravity from the generalized Kontsevich models

1994-09-12

arxiv.org/abs/hep-th/9409066v1

Nucl.Phys. B436 (1995) 342-354

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, SPhT/94-102

Scientific paper

10.1016/0550-3213(94)00517-I

We introduce a parametrization of the coupling constant space of the generalized Kontsevich models in terms of a set of moments equivalent to those introduced recently in the context of topological gravity. For the simplest generalization of the Kontsevich model we express the moments as elementary functions of the susceptibilities and the eigenvalues of the external field. We furthermore use the moment technique to derive a closed expression for the genus zero multi-loop correlators for $(3,3m-1)$ and $(3,3m-2)$ rational matter fields coupled to gravity. We comment on the relation between the two-matrix model and the generalized Kontsevich models

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