Summations over equilaterally triangulated surfaces and the critical string measure
type: Item
instance of: scholarly article
title: Summations over equilaterally triangulated surfaces and the critical string measure
zbMATH Open document ID: 0749.58014
DOI: 10.1007/BF02099009
author: D.-J. Smit
published in: Communications in Mathematical Physics
publication date: 1992-09-26T00:00:00Z
review text: Measures on surfaces have always been defined through triangulations. In this work triangulation is done by equilateral triangles all of the same size. This is combined with a technique which assigns to each equilateral triangulation of a two-dimensional surface a Riemann surface defined over a certain extension of the field of rational numbers, that is, an arithmetic surface. Thus in the author's formulation the sum over randomly triangulated surfaces defines an invariant measure on the moduli space of arithmetic surfaces. In the case of critical string theory it is shown, by explicit computations, that the author's measure approximates correctly the continuum measure.
Mathematics Subject Classification ID: 58D20
Mathematics Subject Classification ID: 58D27
Mathematics Subject Classification ID: 81T40
zbMATH DE Number: 54713
zbMATH Keywords: measures on surfaces
zbMATH Keywords: triangulation
zbMATH Keywords: critical string theory
zbMATH Keywords: continuum measure
reviewed by: Chandra Shekhar Sharma
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 54713