On Integrability of Classical SuperStrings in AdS_5 x S^5

Abstract

We explore integrability properties of superstring equations of motion in AdS_5 x S^5. We impose light-cone kappa-symmetry and reparametrization gauges and construct a Lax representation for the corresponding Hamiltonian dynamics on subspace of physical superstring degrees of freedom. We present some explicit results for the corresponding conserved charges by consistently reducing the dynamics to AdS_3 x S^3 and AdS_3 x S^1 subsectors containing both bosonic and fermionic fields.

JHEP style, 32 pages; v2: refined discussion of monodromy, refs added

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• Wrapping interactions and a new source of corrections to the spin-chain/string duality
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• Superstrings on AdS_4 x CP^3 as a Coset Sigma-model
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• The Off-shell Symmetry Algebra of the Light-cone AdS_5 x S^5 Superstring
• An Integrable Deformation of the AdS5 x S5 Superstring
• Spinning strings and integrable spin chains in the AdS/CFT correspondence
• Pohlmeyer reduction of AdS_5 x S^5 superstring sigma model
• Worldsheet Scattering in AdS_5 x S^5
• Uniform Light-Cone Gauge for Strings in AdS_5 x S^5: Solving su(1|1) Sector
• Green-Schwarz Strings in TsT-transformed backgrounds
• The AdS5xS5 Superstring in Light-Cone Gauge and its Bethe Equations
• On the Hopf algebra structure of the AdS/CFT S-matrix
• Quantum corrections to spinning strings in AdS(5)xS(5) and Bethe ansatz: a comparative study
• On the Dynamics of Finite-Gap Solutions in Classical String Theory
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• Stringy sums and corrections to the quantum string Bethe ansatz
• Bethe Ansatz for a Quantum Supercoset Sigma Model
• Non-local charges, Zm gradings and coset space actions
• Beta Function of k Deformed AdS_5 x S^5 String Theory
• A Symplectic Structure for String Theory on Integrable Backgrounds
• Exact expressions for quantum corrections to spinning strings
• New Integrable System of 2dim Fermions from Strings on AdS_5 x S^5
• On Drinfeld's second realization of the AdS/CFT su(2|2) Yangian
• Classical Open String Integrability
• An action variable of the sine-Gordon model
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• Integrability of Type II Superstrings on Ramond-Ramond Backgrounds in Various Dimensions
• The algebra of flat currents for the string on AdS_5 x S^5 in the light-cone gauge
• Super spin chain coherent state actions and $Ad{S}_5\times S^5$ superstring
• Yangians, S-matrices and AdS/CFT
• Supersymmetric null-surfaces
• A Yangian Double for the AdS/CFT Classical r-matrix
• Flat Currents of the Green-Schwarz Superstrings in AdS_5 x S^1 and AdS_3 x S^3 backgrounds
• Integrable twists in AdS/CFT
• Linking Backlund and Monodromy Charges for Strings on AdS_5 x S^5
• UV finiteness of Pohlmeyer-reduced form of the AdS_5xS^5 superstring theory
• Self-isospectrality, mirror symmetry, and exotic nonlinear supersymmetry
• Giant Magnon in NS5-brane Background
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• Open string integrability and AdS/CFT
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• Notes on fast moving strings
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• Landau-Lifshitz sigma-models, fermions and the AdS/CFT correspondence
• Precision Test of AdS/CFT in Lunin-Maldacena Background
• Analytic integrability for strings on $\eta$ and $\lambda$ deformed backgrounds
• Open Spinning Strings and AdS/dCFT Duality
• On n-point Amplitudes in N=4 SYM
• The U(N) chiral model and exact multi-solitons
• Giant Magnons and Singular Curves
• Rotating Strings with Two Unequal Spins in Lunin-Maldacena Background
• Aspects of Integrability in AdS/CFT Duality
• Pulsating Strings With Angular Momenta
• Structure of the string R-matrix
• Quantum integrability of the Alday-Arutyunov-Frolov model
• On the quantization of continuous non-ultralocal integrable systems
• The Anatomy of Gauge/String Duality in Lunin-Maldacena Background
• Current Algebra and Integrability of Principal Chiral Model on the World-sheet with General Metric
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• Pure Spinor Strings in TsT Deformed Background
• On the pulsating strings in AdS_4 x CP3
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• Note About Integrability and Gauge Fixing for Bosonic String on AdS(5)xS(5)
• The S-matrix of the Faddeev-Reshetikhin Model, Diagonalizability and PT Symmetry
• A Connection between Twistors and Superstring Sigma Models on Coset Superspaces
• The r-matrix of the Alday-Arutyunov-Frolov model
• Statistical mechanics for dilatations in N=4 super Yang--Mills theory
• BRST Invariance of Non-local Charges and Monodromy Matrix of Bosonic String on AdS(5)xS(5)
• Wrapping effects in supersymmetric gauge theories
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• On algebraic structures in supersymmetric principal chiral model
• Algebra of Lax Connection for T-Dual Models
• The SU(1|2) and SU(2|2) Sectors from Superstrings in AdS5 x S5
• Solution Transformations for GS String in AdS_5 x S^5 by Conserved Quantities
• String Solutions in General Backgrounds
• A boundary matrix for AdS/CFT SU(1|1) spin chain
• The $\mathbf{Ad}{\mathbf{S}}_5\times {\mathbf{S}}^5$ Superstring