Triangulated surfaces in twistor space: a kinematical set up for open/closed string duality | Zendy

Mauro Carfora | Zendy; Claudio Dappiaggi | Zendy; Valeria Gili | Zendy

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Triangulated surfaces in twistor space: a kinematical set up for open/closed string duality

Author(s) -

Mauro Carfora,

Claudio Dappiaggi,

Valeria Gili

Publication year - 2006

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2006/12/017

Subject(s) - moduli space , riemann surface , genus , string (physics) , duality (order theory) , twistor theory , pure mathematics , mathematics , moduli of algebraic curves , space (punctuation) , string theory , surface (topology) , intersection (aeronautics) , physics , theoretical physics , mathematical physics , geometry , computer science , botany , biology , engineering , operating system , aerospace engineering

We exploit the properties of the three-dimensional hyperbolic space todiscuss a simplicial setting for open/closed string duality based on (random)Regge triangulations decorated with null twistorial fields. We explicitly showthat the twistorial N-points function, describing Dirichlet correlations overthe moduli space of open N-bordered genus g surfaces, is naturally mapped intothe Witten-Kontsevich intersection theory over the moduli space of N-pointedclosed Riemann surfaces of the same genus. We also discuss various aspects ofthe geometrical setting which connects this model to PSL(2,C) Chern-Simonstheory.Comment: 35 pages, references added, slightly revised introductio

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