Comments on worldsheet theories dual to free large N gauge theories

Details Comments on worldsheet theories dual to free large N gauge theories Comments on worldsheet theories dual to free large N gauge theories

2007-03-15

arxiv.org/abs/hep-th/0703141v2

Phys.Rev.D75:106006,2007

Physics

High Energy Physics

High Energy Physics - Theory

43 pages, 16 figures, JHEP format. v2: added references

Scientific paper

10.1103/PhysRevD.75.106006

We continue to investigate properties of the worldsheet conformal field theories (CFTs) which are conjectured to be dual to free large N gauge theories, using the mapping of Feynman diagrams to the worldsheet suggested in hep-th/0504229. The modular invariance of these CFTs is shown to be built into the formalism. We show that correlation functions in these CFTs which are localized on subspaces of the moduli space may be interpreted as delta-function distributions, and that this can be consistent with a local worldsheet description given some constraints on the operator product expansion coefficients. We illustrate these features by a detailed analysis of a specific four-point function diagram. To reliably compute this correlator we use a novel perturbation scheme which involves an expansion in the large dimension of some operators.

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