Two dimensional gravity in genus one in Matrix Models, Topological and Liouville approaches

Abstract

One-matrix model in $p$-critical point on torus is considered. The generating function of correlation numbers in genus one is evaluated and used for computation correlation numbers in KdV and CFT frames. It is shown that the correlation numbers in KdV frame in genus one satisfy the Witten topological gravity recurrence relations.

16 pages

References in corpus (3)

• Combinatorics of the Modular Group II: the Kontsevich integrals
• On Correlation Numbers in 2D Minimal Gravity and Matrix Models
• Bulk one-point function on disk in one-matrix model

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