Review of AdS/CFT Integrability, Chapter III.2: Exact World-Sheet S-Matrix

Changrim Ahn; Rafael I. Nepomechie

doi:10.1007/s11005-011-0478-9

Review of AdS/CFT Integrability, Chapter III.2: Exact World-Sheet S-Matrix

Changrim Ahn, Rafael I. Nepomechie

Department of Physics

Research output: Contribution to journal › Review article › peer-review

18 Scopus citations

Abstract

We review the derivation of the S-matrix for planar N = 4 supersymmetric Yang-Mills theory and type IIB superstring theory on an AdS ₅ × S ⁵ background. After deriving the S-matrix for the su(2) and su(3) sectors at the one-loop level based on coordinate Bethe ansatz, we show how su(2{pipe}2) symmetry leads to the exact asymptotic S-matrix up to an overall scalar function. We then briefly review the spectrum of bound states by relating these states to simple poles of the S-matrix. Finally, we review the derivation of the asymptotic Bethe equations, which can be used to determine the asymptotic multiparticle spectrum.

Original language	English
Pages (from-to)	209-229
Number of pages	21
Journal	Letters in Mathematical Physics
Volume	99
Issue number	1-3
DOIs	https://doi.org/10.1007/s11005-011-0478-9
State	Published - Jan 2012

Bibliographical note

Funding Information:
We thank N. Beisert for his helpful comments. This work was supported in part by KRF-2007-313-C00150 and WCU grant R32-2008-000-10130-0 (CA), and by the National Science Foundation under Grants PHY-0554821 and PHY-0854366 (RN).

Keywords

AdS/CFT
Bethe ansatz
Yang-Baxter equation
exact S-matrix

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10.1007/s11005-011-0478-9

Cite this

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title = "Review of AdS/CFT Integrability, Chapter III.2: Exact World-Sheet S-Matrix",

abstract = "We review the derivation of the S-matrix for planar N = 4 supersymmetric Yang-Mills theory and type IIB superstring theory on an AdS 5 × S 5 background. After deriving the S-matrix for the su(2) and su(3) sectors at the one-loop level based on coordinate Bethe ansatz, we show how su(2{pipe}2) symmetry leads to the exact asymptotic S-matrix up to an overall scalar function. We then briefly review the spectrum of bound states by relating these states to simple poles of the S-matrix. Finally, we review the derivation of the asymptotic Bethe equations, which can be used to determine the asymptotic multiparticle spectrum.",

keywords = "AdS/CFT, Bethe ansatz, Yang-Baxter equation, exact S-matrix",

author = "Changrim Ahn and Nepomechie, {Rafael I.}",

note = "Funding Information: We thank N. Beisert for his helpful comments. This work was supported in part by KRF-2007-313-C00150 and WCU grant R32-2008-000-10130-0 (CA), and by the National Science Foundation under Grants PHY-0554821 and PHY-0854366 (RN).",

year = "2012",

month = jan,

doi = "10.1007/s11005-011-0478-9",

language = "English",

volume = "99",

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journal = "Letters in Mathematical Physics",

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T2 - Exact World-Sheet S-Matrix

AU - Ahn, Changrim

AU - Nepomechie, Rafael I.

N1 - Funding Information: We thank N. Beisert for his helpful comments. This work was supported in part by KRF-2007-313-C00150 and WCU grant R32-2008-000-10130-0 (CA), and by the National Science Foundation under Grants PHY-0554821 and PHY-0854366 (RN).

PY - 2012/1

Y1 - 2012/1

N2 - We review the derivation of the S-matrix for planar N = 4 supersymmetric Yang-Mills theory and type IIB superstring theory on an AdS 5 × S 5 background. After deriving the S-matrix for the su(2) and su(3) sectors at the one-loop level based on coordinate Bethe ansatz, we show how su(2{pipe}2) symmetry leads to the exact asymptotic S-matrix up to an overall scalar function. We then briefly review the spectrum of bound states by relating these states to simple poles of the S-matrix. Finally, we review the derivation of the asymptotic Bethe equations, which can be used to determine the asymptotic multiparticle spectrum.

AB - We review the derivation of the S-matrix for planar N = 4 supersymmetric Yang-Mills theory and type IIB superstring theory on an AdS 5 × S 5 background. After deriving the S-matrix for the su(2) and su(3) sectors at the one-loop level based on coordinate Bethe ansatz, we show how su(2{pipe}2) symmetry leads to the exact asymptotic S-matrix up to an overall scalar function. We then briefly review the spectrum of bound states by relating these states to simple poles of the S-matrix. Finally, we review the derivation of the asymptotic Bethe equations, which can be used to determine the asymptotic multiparticle spectrum.

KW - AdS/CFT

KW - Bethe ansatz

KW - Yang-Baxter equation

KW - exact S-matrix

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DO - 10.1007/s11005-011-0478-9

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SP - 209

EP - 229

JO - Letters in Mathematical Physics

JF - Letters in Mathematical Physics

IS - 1-3

ER -

Review of AdS/CFT Integrability, Chapter III.2: Exact World-Sheet S-Matrix

Abstract

Bibliographical note

Keywords

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