From free fields to AdS. 2.
Feb, 2004Citations per year
Abstract:
We continue with the program of hep-th/0308184 to implement open-closed string duality on free gauge field theory (in the large limit). In this paper we consider correlators such as \la \prod_{i=1}^n \Tr\Phi^{J_i}(x_i)\ra. The Schwinger parametrisation of this -point function exhibits a partial gluing up into a set of basic skeleton graphs. We argue that the moduli space of the planar skeleton graphs is exactly the same as the moduli space of genus zero Riemann surfaces with holes. In other words, we can explicitly rewrite the -point (planar) free field correlator as an integral over the moduli space of a sphere with holes. A preliminary study of the integrand also indicates compatibility with a string theory on . The details of our argument are quite insensitive to the specific form of the operators and generalise to diagrams of higher genus as well. We take this as evidence of the field theory's ability to reorganise itself into a string theory.- 11.15.Pg
- 11.25.Tq
- string model
- string: open
- string: closed
- n-point function
- perturbation theory: higher-order
- operator: vertex
- space-time: anti-de Sitter
- moduli space
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