The Plane-Wave/Super Yang-Mills Duality
Abstract
We present a self-contained review of the Plane-wave/super-Yang-Mills duality, which states that strings on a plane-wave background are dual to a particular large R-charge sector of N=4, D=4 superconformal U(N) gauge theory. This duality is a specification of the usual AdS/CFT correspondence in the ''Penrose limit''. The Penrose limit of AdS{sub 5} S{sup 5} leads to the maximally supersymmetric ten dimensional plane-wave (henceforth the plane-wave) and corresponds to restricting to the large R-charge sector, the BMN sector, of the dual superconformal field theory. After assembling the necessary background knowledge, we state the duality and review some of its supporting evidence. We review the suggestion by 't Hooft that Yang-Mills theories with gauge groups of large rank might be dual to string theories and the realization of this conjecture in the form of the AdS/CFT duality. We discuss plane-waves as exact solutions of supergravity and their appearance as Penrose limits of other backgrounds, then present an overview of string theory on the plane-wave background, discussing the symmetries and spectrum. We then make precise the statement of the proposed duality, classify the BMN operators, and mention some extensions of the proposal. We move on to study the gauge theory side of themore »
- Authors:
- Publication Date:
- Research Org.:
- SLAC National Accelerator Lab., Menlo Park, CA (United States)
- Sponsoring Org.:
- USDOE Office of Science (US)
- OSTI Identifier:
- 826467
- Report Number(s):
- SLAC-PUB-10202
TRN: US0403116
- DOE Contract Number:
- AC03-76SF00515
- Resource Type:
- Technical Report
- Resource Relation:
- Other Information: PBD: 14 Oct 2003
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; CORRELATION FUNCTIONS; DUALITY; LIGHT CONE; OPERATOR PRODUCT EXPANSION; SPECIFICATIONS; SUPERGRAVITY; YANG-MILLS THEORY
Citation Formats
Sadri, D. The Plane-Wave/Super Yang-Mills Duality. United States: N. p., 2003.
Web. doi:10.2172/826467.
Sadri, D. The Plane-Wave/Super Yang-Mills Duality. United States. https://doi.org/10.2172/826467
Sadri, D. 2003.
"The Plane-Wave/Super Yang-Mills Duality". United States. https://doi.org/10.2172/826467. https://www.osti.gov/servlets/purl/826467.
@article{osti_826467,
title = {The Plane-Wave/Super Yang-Mills Duality},
author = {Sadri, D},
abstractNote = {We present a self-contained review of the Plane-wave/super-Yang-Mills duality, which states that strings on a plane-wave background are dual to a particular large R-charge sector of N=4, D=4 superconformal U(N) gauge theory. This duality is a specification of the usual AdS/CFT correspondence in the ''Penrose limit''. The Penrose limit of AdS{sub 5} S{sup 5} leads to the maximally supersymmetric ten dimensional plane-wave (henceforth the plane-wave) and corresponds to restricting to the large R-charge sector, the BMN sector, of the dual superconformal field theory. After assembling the necessary background knowledge, we state the duality and review some of its supporting evidence. We review the suggestion by 't Hooft that Yang-Mills theories with gauge groups of large rank might be dual to string theories and the realization of this conjecture in the form of the AdS/CFT duality. We discuss plane-waves as exact solutions of supergravity and their appearance as Penrose limits of other backgrounds, then present an overview of string theory on the plane-wave background, discussing the symmetries and spectrum. We then make precise the statement of the proposed duality, classify the BMN operators, and mention some extensions of the proposal. We move on to study the gauge theory side of the duality, studying both quantum and non-planar corrections to correlation functions of BMN operators, and their operator product expansion. The important issue of operator mixing and the resultant need for re-diagonalization is stressed. Finally, we study strings on the plane-wave via light-cone string field theory, and demonstrate agreement on the one-loop correction to the string mass spectrum and the corresponding quantity in the gauge theory. A new presentation of the relevant superalgebra is given.},
doi = {10.2172/826467},
url = {https://www.osti.gov/biblio/826467},
journal = {},
number = ,
volume = ,
place = {United States},
year = {Tue Oct 14 00:00:00 EDT 2003},
month = {Tue Oct 14 00:00:00 EDT 2003}
}