Remarks on worldsheet theories dual to free large N gauge theories
- Department of Particle Physics, Weizmann Institute of Science, Rehovot 76100 (Israel)
- Harish-Chandra Research Institute, Chhatnag Road, Jhunsi, Allahabad 211019 (India)
- Department of Physics, Technion, Israel Institute of Technology, Haifa 32000 (Israel)
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 [R. Gopakumar, Phys. Rev. D 70, 025009 (2004); ibid.70, 025010 (2004); C. R. Physique 5, 1111 (2004); Phys. Rev. D 72, 066008 (2005)]. 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.
- OSTI ID:
- 20933310
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 75, Issue 10; Other Information: DOI: 10.1103/PhysRevD.75.106006; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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