Multi-loop correlators for rational theories of 2D gravity from the generalized Kontsevich models
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Multi-loop correlators for rational theories of 2D gravity from the generalized Kontsevich models. / Kristjansen, C.
I: Nuclear Physics B, Bind 436, Nr. 1-2, 12.09.1994, s. 342-354.Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
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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
VL - 436
SP - 342
EP - 354
JO - Nuclear Physics, Section B
JF - Nuclear Physics, Section B
SN - 0550-3213
IS - 1-2
ER -
ID: 186914598