1994/09/12 by Charlotte Kristjansen, C. Kristjansen · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Nonlinear Waves and Solitons #hep-th
paper · pdf · doi:10.1016/0550-3213(94)00517-i
published as Nucl.Phys. B436 (1995) 342-354 · 14 pages, SPhT/94-102
arxiv created 1994/09/12 · openalex publication_date 1995/02/01 · arxiv updated 2009/11/30 · openalex created_date 2020/11/23 · openalex updated_date 2026/07/28
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