2D Dynamical Triangulations and the Weil-Petersson Measure

Conference paper


Our goal here is to present an approach connecting the anomalous scaling properties of 2D simplicial quantum gravity to the geometry of the moduli space \({\overline M _g}{,_{{N_0}}}\), N 0 of genus g Riemann surfaces with N 0 punctures. In the case of pure gravity we prove that the scaling properties of the set of dynamical triangulations with N 0 vertices are directly provided by the large N 0 asymptotics of the Weil-Peters son volume of \({\overline M _g}{,_{{N_0}}}\), N 0, recently discussed by Manin and Zograf.


Modulus Space Riemann Surface Quadratic Differential Mapping Class Group Ribbon Graph 


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Copyright information

© Springer-Verlag Italia 2002

Authors and Affiliations

  1. 1.Dipartimento di Fisica Nucleare e Teorica, Università degli Studi di Pavia, and Istituto Nazionale di Fisica Nucleare, Sezione di PaviaPaviaItaly

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