# Difference between revisions of "The BMN limit"

(incorporate material from Marolf hep-th/0311044) |
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Spradlin and Volovich review the plane-wave limit of AdS/CFT and describe how string field theory calculations of string interactions in 9+1 dimensional plane-wave spacetimes match interactions calculated using N=4 super Yang-Mills gauge theory in a 3+1 conformally flat spacetime. The paper includes | Spradlin and Volovich review the plane-wave limit of AdS/CFT and describe how string field theory calculations of string interactions in 9+1 dimensional plane-wave spacetimes match interactions calculated using N=4 super Yang-Mills gauge theory in a 3+1 conformally flat spacetime. The paper includes | ||

an elementary introduction to light-cone string field theory. | an elementary introduction to light-cone string field theory. | ||

+ | |||

+ | [http://arxiv.org/abs/hep-th/0307204 Quantum Mechanics, Random Matrices and BMN Gauge Theory]<br> | ||

+ | by C. Kristjansen (hep-th/0307204, 16 pages) | ||

[http://arxiv.org/abs/hep-th/0307027 Strings in plane wave backgrounds]<br> | [http://arxiv.org/abs/hep-th/0307027 Strings in plane wave backgrounds]<br> |

## Revision as of 12:38, 2 April 2007

### reviews

TASI 2003 Lectures on AdS/CFT

by Juan M. Maldacena (hep-th/0309246, 46 pages)

Maldacena's TASI lectures introduce the AdS/CFT correspondence and in particular the plane-wave limit.

Lectures on the Plane-Wave String/Gauge Theory Duality

by Jan Plefka (hep-th/0307101, 46 pages)

Plefka's review of the plane-wave gauge/gravity duality concentrates on the gauge-theory side of
the correspondence and introduces an effective formalism that reduces the gauge-theory computations to quantum mechanics.
Plefka describes how string field theory calculations match gauge theory calculations. An elementary introduction to light-cone string field theory is included here as well.

The Duality between IIB String Theory on PP-wave and N=4 SYM: a Status Report

by Rodolfo Russo, Alessandro Tanzin (hep-th/0401155, 35 pages, 5 figures)

Spinning strings and AdS/CFT duality

by A.A. Tseytlin (hep-th/0311139, 54 pages)

Tseytlin reviews how certain string states in Anti-de Sitter space (crossed with S^5) can be studied in detail using semiclassical methods, allowing detailed studies of the AdS/CFT duality to be carried out. These states have large angular momentum on the S^5 and their study is related to the above plane-wave limit.

The Plane-Wave/Super Yang-Mills Duality

by Darius Sadri, Mohammad M. Sheikh-Jabbari (hep-th/0310119, 91 pages, 7 figures)

Light-Cone String Field Theory in a Plane Wave Background

by Marcus Spradlin, Anastasia Volovich (hep-th/0310033, 46 pages, 4 figures)

Spradlin and Volovich review the plane-wave limit of AdS/CFT and describe how string field theory calculations of string interactions in 9+1 dimensional plane-wave spacetimes match interactions calculated using N=4 super Yang-Mills gauge theory in a 3+1 conformally flat spacetime. The paper includes
an elementary introduction to light-cone string field theory.

Quantum Mechanics, Random Matrices and BMN Gauge Theory

by C. Kristjansen (hep-th/0307204, 16 pages)

Strings in plane wave backgrounds

by A. Pankiewicz (hep-th/0307027, 85 pages)

This fairly detailed introduction to the plane-wave limit of AdS/CFT is based on Pankiewicz's Ph.D. thesis.

### papers

Strings in flat space and pp waves from ${\cal N}=4$ Super Yang Mills

by David Berenstein, Juan Maldacena, Horatiu Nastase (hep-th/0202021, 36 pages, 5 figures)