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Triangulated Surfaces in Twistor Space: A Kinematical Set up for Open/Closed String Duality

M. Carfora·C. Dappiaggi·V. L. Gili
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Abstract

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.

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M. Carfora, C. Dappiaggi, V. L. Gili. 2007-01-08. Triangulated Surfaces in Twistor Space: A Kinematical Set up for Open/Closed String Duality. https://doi.org/10.1088/1126-6708%2F2006%2F12%2F017

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