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

TY - JOUR

T1 - Multi-loop correlators for rational theories of 2D gravity from the generalized Kontsevich models

AU - Kristjansen, C.

N1 - 14 pages, SPhT/94-102

PY - 1994/9/12

Y1 - 1994/9/12

N2 - 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

AB - 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

KW - hep-th

U2 - 10.1016/0550-3213(94)00517-I

DO - 10.1016/0550-3213(94)00517-I

M3 - Journal article

SN - 0550-3213

VL - 436

SP - 342

EP - 354

JO - Nuclear Physics, Section B

JF - Nuclear Physics, Section B

IS - 1-2

ER -