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Title: Remarks 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 [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.

Authors:
 [1];  [2]; ;  [3];  [1];  [4]
  1. Department of Particle Physics, Weizmann Institute of Science, Rehovot 76100 (Israel)
  2. (United States)
  3. Harish-Chandra Research Institute, Chhatnag Road, Jhunsi, Allahabad 211019 (India)
  4. Department of Physics, Technion, Israel Institute of Technology, Haifa 32000 (Israel)
Publication Date:
OSTI Identifier:
20933310
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. D, Particles Fields; Journal Volume: 75; Journal Issue: 10; Other Information: DOI: 10.1103/PhysRevD.75.106006; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; CONFORMAL INVARIANCE; CORRELATION FUNCTIONS; DELTA FUNCTION; FEYNMAN DIAGRAM; GAUGE INVARIANCE; MAPPING; OPERATOR PRODUCT EXPANSION; PERTURBATION THEORY; QUANTUM FIELD THEORY

Citation Formats

Aharony, Ofer, SITP, Department of Physics and SLAC, Stanford University, Stanford, California 94305, David, Justin R., Gopakumar, Rajesh, Komargodski, Zohar, and Razamat, Shlomo S. Remarks on worldsheet theories dual to free large N gauge theories. United States: N. p., 2007. Web. doi:10.1103/PHYSREVD.75.106006.
Aharony, Ofer, SITP, Department of Physics and SLAC, Stanford University, Stanford, California 94305, David, Justin R., Gopakumar, Rajesh, Komargodski, Zohar, & Razamat, Shlomo S. Remarks on worldsheet theories dual to free large N gauge theories. United States. doi:10.1103/PHYSREVD.75.106006.
Aharony, Ofer, SITP, Department of Physics and SLAC, Stanford University, Stanford, California 94305, David, Justin R., Gopakumar, Rajesh, Komargodski, Zohar, and Razamat, Shlomo S. Tue . "Remarks on worldsheet theories dual to free large N gauge theories". United States. doi:10.1103/PHYSREVD.75.106006.
@article{osti_20933310,
title = {Remarks on worldsheet theories dual to free large N gauge theories},
author = {Aharony, Ofer and SITP, Department of Physics and SLAC, Stanford University, Stanford, California 94305 and David, Justin R. and Gopakumar, Rajesh and Komargodski, Zohar and Razamat, Shlomo S.},
abstractNote = {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.},
doi = {10.1103/PHYSREVD.75.106006},
journal = {Physical Review. D, Particles Fields},
number = 10,
volume = 75,
place = {United States},
year = {Tue May 15 00:00:00 EDT 2007},
month = {Tue May 15 00:00:00 EDT 2007}
}
  • 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 [1]. 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 detailedmore » 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.« less
  • We construct anomaly-free nonsupersymmetric large {ital N} gauge theories from orientifolds of type IIB on {bold C}{sup 3}/{Gamma} orbifolds. In particular, massless as well as tachyonic one-loop tadpoles are canceled in these models. This is achieved by starting with N=1,2 supersymmetric orientifolds with a well defined world-sheet description and including discrete torsion (which breaks supersymmetry) in the orbifold action. In this way we obtain nontrivial nonchiral as well as anomaly-free chiral large {ital N} gauge theories. We point out certain subtleties arising in the chiral cases. Subject to certain assumptions, these theories are shown to have the property that computationmore » of any {ital M}-point correlation function in these theories reduces to the corresponding computation in the parent N=4 oriented theory. This generalizes the analogous results recently obtained in supersymmetric large {ital N} gauge theories from orientifolds, as well as in (non)supersymmetric large {ital N} gauge theories without orientifold planes. {copyright} {ital 1999} {ital The American Physical Society}« less
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