%0 Journal Article
%T Triangulated Surfaces in Twistor Space: A Kinematical Set up for Open/Closed String Duality
%A M. Carfora
%A C. Dappiaggi
%A V. L. Gili
%J Mathematics
%D 2006
%I arXiv
%R 10.1088/1126-6708/2006/12/017
%X We exploit the properties of the three-dimensional hyperbolic space to discuss a simplicial setting for open/closed string duality based on (random) Regge triangulations decorated with null twistorial fields. We explicitly show that the twistorial N-points function, describing Dirichlet correlations over the moduli space of open N-bordered genus g surfaces, is naturally mapped into the Witten-Kontsevich intersection theory over the moduli space of N-pointed closed Riemann surfaces of the same genus. We also discuss various aspects of the geometrical setting which connects this model to PSL(2,C) Chern-Simons theory.
%U http://arxiv.org/abs/hep-th/0607146v3