# The BMN limit: Difference between revisions

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=== | ===reviews=== | ||

[http://arxiv.org/abs/hep-th/0309246 TASI 2003 Lectures on AdS/CFT]<br> | |||

by Juan M. Maldacena (hep-th/0309246, 46 pages)<br> | |||

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

[http://arxiv.org/abs/hep-th/0307101 Lectures on the Plane-Wave String/Gauge Theory Duality]<br> | |||

by Jan Plefka (hep-th/0307101, 46 pages)<br> | |||

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. | |||

[http://arxiv.org/abs/hep-th/0401155 The Duality between IIB String Theory on PP-wave and N=4 SYM: a Status Report]<br> | |||

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

[http://arxiv.org/abs/hep-th/0311139 Spinning strings and AdS/CFT duality]<br> | |||

by A.A. Tseytlin (hep-th/0311139, 54 pages)<br> | |||

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. | |||

[http://arxiv.org/abs/hep-th/0310119 The Plane-Wave/Super Yang-Mills Duality]<br> | |||

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

[http://arxiv.org/abs/hep-th/0310033 Light-Cone String Field Theory in a Plane Wave Background]<br> | |||

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

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. | |||

[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> | |||

by A. Pankiewicz (hep-th/0307027, 85 pages)<br> | |||

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

===papers=== | |||

[http://arxiv.org/abs/hep-th/0202021 Strings in flat space and pp waves from ${\cal N}=4$ Super Yang Mills]<br> | |||

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

[http://xstructure.inr.ac.ru/x-bin/theme3.py?level=1&index1=311677 BMN limit on arxiv.org] |

## Latest revision as of 15:21, 24 September 2010

### 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)