2006/07/31 by Mauro Carfora, M. Carfora, Claudio Dappiaggi +3 · 1 citation
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Geometric and Algebraic Topology #gr-qc #hep-th #math-ph #math.MP
paper · pdf · doi:10.1088/1126-6708/2006/12/017
published as JHEP0612:017,2006 · 35 pages, references added, slightly revised introduction
openalex publication_date 2006/12/06 · arxiv created 2007/01/08 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
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.