Moduli space intersection duality between Regge surfaces and 2D dynamical triangulations

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dc.creatorCarfora, Mauro
dc.creatorMarzuoli, Annalisa
dc.creatorVillani, Paolo
dc.date2000-07-17
dc.date.accessioned2026-07-07T04:27:54Z
dc.date.available2026-07-07T04:27:54Z
dc.descriptionDeformation theory for 2-dimensional dynamical triangulations with N vertices is discussed by exploiting the geometry of the moduli space of Euclidean polygons. Such an analysis provides an explicit connection among Regge surfaces, dynamical triangulations and the Witten-Kontsevich model. We show that a natural set of Regge measures and a triangulation counting of relevance for dynamical triangulations are directly connected with intersection theory over the compactified moduli space of genus g Riemann surfaces with N punctures.The Regge measures in question provide volumes of the open strata in moduli space. It is also argued that the arguments presented here offer evidence of a form of topological S-duality between Regge calculus and DT theory.
dc.description32 pages
dc.identifierhttps://arxiv.org/abs/math-ph/0007024
dc.identifierhttp://arxiv.org/abs/math-ph/0007024
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/56590
dc.subjectMathematical Physics
dc.titleModuli space intersection duality between Regge surfaces and 2D dynamical triangulations
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