Comments on worldsheet theories dual to free large N gauge theories

Abstract

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.

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

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• What is the Simplest Gauge-String Duality?
• Exact Stringy Microstates from Gauge Theories
• The space-time operator product expansion in string theory duals of field theories
• Summing planar diagrams
• Giant gravitons in twisted holography
• ${\text{AdS}}_3/{\text{CFT}}_2$ at higher genus
• Boundary Conformal Field Theory and Ribbon Graphs: a tool for open/closed string dualities