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 [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 deltafunction 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 fourpoint 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:
 Publication Date:
 Research Org.:
 Stanford Linear Accelerator Center (SLAC)
 Sponsoring Org.:
 USDOE
 OSTI Identifier:
 901255
 Report Number(s):
 SLACPUB12405
hepth/0703141; TRN: US200714%%103
 DOE Contract Number:
 AC0276SF00515
 Resource Type:
 Technical Report
 Country of Publication:
 United States
 Language:
 English
 Subject:
 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; CORRELATION FUNCTIONS; DELTA FUNCTION; DIMENSIONS; FEYNMAN DIAGRAM; FIELD THEORIES; OPERATOR PRODUCT EXPANSION; TheoryHEP,HEPTH
Citation Formats
Aharony, Ofer, /Weizmann Inst. /Stanford U., ITP /SLAC, David, Justin R., Gopakumar, Rajesh, /HarishChandra Res. Inst., Komargodski, Zohar, /Weizmann Inst., Razamat, Shlomo
S., and /Technion. Comments on Worldsheet Theories Dual to Free Large N Gauge Theories. United States: N. p., 2007.
Web. doi:10.2172/901255.
Aharony, Ofer, /Weizmann Inst. /Stanford U., ITP /SLAC, David, Justin R., Gopakumar, Rajesh, /HarishChandra Res. Inst., Komargodski, Zohar, /Weizmann Inst., Razamat, Shlomo
S., & /Technion. Comments on Worldsheet Theories Dual to Free Large N Gauge Theories. United States. doi:10.2172/901255.
Aharony, Ofer, /Weizmann Inst. /Stanford U., ITP /SLAC, David, Justin R., Gopakumar, Rajesh, /HarishChandra Res. Inst., Komargodski, Zohar, /Weizmann Inst., Razamat, Shlomo
S., and /Technion. Wed .
"Comments on Worldsheet Theories Dual to Free Large N Gauge Theories". United States.
doi:10.2172/901255. https://www.osti.gov/servlets/purl/901255.
@article{osti_901255,
title = {Comments on Worldsheet Theories Dual to Free Large N Gauge Theories},
author = {Aharony, Ofer and /Weizmann Inst. /Stanford U., ITP /SLAC and David, Justin R. and Gopakumar, Rajesh and /HarishChandra Res. Inst. and Komargodski, Zohar and /Weizmann Inst. and Razamat, Shlomo
S. and /Technion},
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 [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 deltafunction 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 fourpoint 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 = {10.2172/901255},
journal = {},
number = ,
volume = ,
place = {United States},
year = {Wed Mar 21 00:00:00 EDT 2007},
month = {Wed Mar 21 00:00:00 EDT 2007}
}

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