Triangulated Surfaces in Twistor Space: A Kinematical Set up for Open/Closed String Duality
arXiv:hep-th/0607146 · doi:10.1088/1126-6708/2006/12/017
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.
35 pages, references added, slightly revised introduction
References in corpus (11)
- Lectures on 2D Yang-Mills Theory, Equivariant Cohomology and Topological Field Theories
- A Link Invariant from Quantum Dilogarithm
- Discrete structures in gravity
- From Free Fields to
- A paradigm of open/closed duality: Liouville D-branes and the Kontsevich model
- From Free Fields to -- III
- From Free Fields to AdS -- II
- On the worldsheet theories of strings dual to free large N gauge theories
- Free Field Theory as a String Theory?
- Estimates of Weil-Petersson volumes via effective divisors
- Expansion in Feynman Graphs as Simplicial String Theory