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It is known that classical string dynamics in pure AdS_5\times S^5 is integrable and plays an important role in solvability.
Scattering of Massless Lumps and Nonlocal Charges in the Two-Dimensional Classical Nonlinear Sigma Model
M. Luscher and K. Pohlmeyer · 1978
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Remarks About the Existence of Nonlocal Charges in Two-Dimensional Models
E. Brezin, C. Itzykson, Jean Zinn-Justin, and J.B. Zuber · 1979
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The Large N limit of superconformal field theories and supergravity
Juan Martin Maldacena · 1998
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The AdS/CFT Correspondence and a New Positive Energy Conjecture for General Relativity
Gary T. Horowitz and Robert C. Myers · 1998
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Anti-de Sitter space, thermal phase transition, and confinement in gauge theories
Edward Witten · 1998
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Chaotic scattering and capture of strings by black hole
Andrei V. Frolov and Arne L. Larsen · 1999
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Chaos and Nonlinear Dynamics
Robert C. Hilborn · 2000
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Igor R. Klebanov and Matthew J. Strassler · 2000
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A semi-classical limit of the gauge/string correspondence
S. S. Gubser, I. R. Klebanov, and Alexander M. Polyakov · 2002
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Aspects of semiclassical strings in AdS(5)
Gautam Mandal, Nemani V. Suryanarayana, and Spenta R. Wadia · 2002
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Chaos in Dynamical Systems
Edward Ott · 2002
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Julien Clinton Sprott · 2003
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Hidden symmetries of the AdS(5) x S**5 superstring
Iosif Bena, Joseph Polchinski, and Radu Roiban · 2004
Cited alongside, same era.
Deformations of N=4 SYM and integrable spin chain models
David Berenstein and Sergey A. Cherkis · 2004
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Low energy hadron physics in holographic QCD
Tadakatsu Sakai and Shigeki Sugimoto · 2005
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Review of AdS/CFT Integrability: An Overview
Niklas Beisert, Changrim Ahn, Luis F. Alday, Zoltan Bajnok, James M. Drummond, et al · 2010
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Review of AdS/CFT Integrability, Chapter II.1: Classical AdS5xS5 string solutions
A.A. Tseytlin · 2010
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Chaos in the Gauge / Gravity Correspondence
Leopoldo A.Pando Zayas and Cesar A. Terrero-Escalante · 2010
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To be published
Pallab Basu and Leopoldo Pando Zayas · 2011
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