# 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 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:

- Publication Date:

- Research Org.:
- Stanford Linear Accelerator Center (SLAC)

- Sponsoring Org.:
- USDOE

- OSTI Identifier:
- 901255

- Report Number(s):
- SLAC-PUB-12405

hep-th/0703141; TRN: US200714%%103

- DOE Contract Number:
- AC02-76SF00515

- 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; Theory-HEP,HEPTH

### Citation Formats

```
Aharony, Ofer, /Weizmann Inst. /Stanford U., ITP /SLAC, David, Justin R., Gopakumar, Rajesh, /Harish-Chandra 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, /Harish-Chandra 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, /Harish-Chandra 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 /Harish-Chandra 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 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 = {10.2172/901255},

journal = {},

number = ,

volume = ,

place = {United States},

year = {Wed Mar 21 00:00:00 EDT 2007},

month = {Wed Mar 21 00:00:00 EDT 2007}

}