Worldsheet Scattering in AdS_5 x S^5

Abstract

We calculate the S-matrix in the gauge-fixed sigma-model on AdS_5 x S^5 to the leading order in perturbation theory, and analyze how supersymmetry is realized on the scattering states. A mild nonlocality of the supercharges implies that their action on multi-particle states does not follow the Leibniz rule, which is replaced by a nontrivial coproduct. The plane wave symmetry algebra is thus naturally enhanced to a Hopf algebra. The scattering matrix elements obey the classical Yang-Baxter equation modified by the existence of the coproduct. This structure mirrors that of the large 't Hooft coupling expansion of the S-matrix for the spin chain in the dual super-Yang-Mills theory.

51 pages, v2: references added, v3: sign in (2.12), (6.19) and (6.21) corrected; v4: discussion of classical YBE is considerably modified

References in corpus (18)

• Transcendentality and Crossing
• Giant Magnons
• The Four-Loop Planar Amplitude and Cusp Anomalous Dimension in Maximally Supersymmetric Yang-Mills Theory
• The AdS_5xS^5 superstring worldsheet S-matrix and crossing symmetry
• A Crossing-Symmetric Phase for AdS_5 x S^5 Strings
• The Zamolodchikov-Faddeev Algebra for AdS_5 x S^5 Superstring
• Finite-size Effects from Giant Magnons
• Quantum corrections to the string Bethe ansatz
• The Analytic Bethe Ansatz for a Chain with Centrally Extended su(2|2) Symmetry
• The Off-shell Symmetry Algebra of the Light-cone AdS_5 x S^5 Superstring
• On AdS_5 x S^5 String S-matrix
• The AdS5xS5 Superstring in Light-Cone Gauge and its Bethe Equations
• On the Hopf algebra structure of the AdS/CFT S-matrix
• Bethe Ansatz in Stringy Sigma Models
• The magnon kinematics of the AdS/CFT correspondence
• Asymptotic Bethe Ansatz S-matrix and Landau-Lifshitz type effective 2-d actions
• Integrability and non-perturbative effects in the AdS/CFT correspondence
• The AdS_5 x S^5 superstrings in the generalized light-cone gauge

Cited by in corpus (98)

• Foundations of the AdS_5 x S^5 Superstring. Part I
• The Zamolodchikov-Faddeev Algebra for AdS_5 x S^5 Superstring
• S-matrix for strings on $\eta$-deformed AdS5 x S5
• On String S-matrix, Bound States and TBA
• Pohlmeyer reduction of AdS_5 x S^5 superstring sigma model
• Two-loop world-sheet corrections in AdS_5 x S^5 superstring
• The all-loop integrable spin-chain for strings on AdS_3 x S^3 x T^4: the massive sector
• On string theory on AdS_3 x S^3 x T^4 with mixed 3-form flux: tree-level S-matrix
• The complete AdS_3 x S^3 x T^4 worldsheet S-matrix
• The S-matrix of String Bound States
• Connecting giant magnons to the pp-wave: An interpolating limit of $Ad{S}_5\times S^5$
• On the exact spectrum and mirror duality of the (AdS_5 x S^5)_eta superstring
• On the Strong Coupling Scaling Dimension of High Spin Operators
• Scattering in Mass-Deformed N>=4 Chern-Simons Models
• The Dressing Factor and Crossing Equations
• The Classical r-matrix of AdS/CFT and its Lie Bialgebra Structure
• Worldsheet spectrum in AdS(4)/CFT(3) correspondence
• Towards the quantum S-matrix of the Pohlmeyer reduced version of AdS_5 x S^5 superstring theory
• $Ad{S}_3\times S^3\times M^4$ string S-matrices from unitarity cuts
• The Four-Loop Dressing Phase of N=4 SYM
• Non-perturbative Defect One-Point Functions in Planar $\mathcal{N}=4$ Super-Yang-Mills
• Finite-gap equations for strings on AdS_3 x S^3 x T^4 with mixed 3-form flux
• Finite-Size Effects for Dyonic Giant Magnons
• World-sheet scattering in AdS_5 x S^5 at two loops
• Two-dimensional S-matrices from unitarity cuts
• Double Wick rotating Green-Schwarz strings
• The Bound State S-Matrix for AdS5 x S5 Superstring
• The one-loop worldsheet S-matrix for the AdS(n) x S(n) x T(10-2n) superstring
• On Drinfeld's second realization of the AdS/CFT su(2|2) Yangian
• Classical r-matrix of the su(2|2) SYM spin-chain
• A Secret Symmetry of the AdS/CFT S-matrix
• Massless Lüscher Terms and the Limitations of the AdS3 Asymptotic Bethe Ansatz
• $Ad{S}_3/CF{T}_2$, finite-gap equations and massless modes
• $T\bar{T}$ deformations as TsT transformations
• A light-cone approach to three-point functions in AdS_5 x S^5
• Yangians, S-matrices and AdS/CFT
• Integrable S matrix, mirror TBA and spectrum for the stringy ${\text{AdS}}_3\times {\text{S}}^3\times {\text{S}}^3\times {\text{S}}^1$ WZW model
• Puzzles of eta-deformed AdS_5 x S^5
• A Yangian Double for the AdS/CFT Classical r-matrix
• Spinning strings in AdS_3 x S^3 with NS-NS flux
• Integrable S-matrices, massive and massless modes and the AdS_2 x S^2 superstring
• Restoring Unitarity in the q-Deformed World-Sheet S-Matrix
• Reduced sigma-model on AdS_5 x S^5: one-loop scattering amplitudes
• The Classical Trigonometric r-Matrix for the Quantum-Deformed Hubbard Chain
• UV finiteness of Pohlmeyer-reduced form of the AdS_5xS^5 superstring theory
• Worldsheet Form Factors in AdS/CFT
• On the massless tree-level S-matrix in 2d sigma models
• Tree-level S-matrix of Pohlmeyer reduced form of AdS_5 x S^5 superstring theory
• Interacting finite-size magnons
• A Relativistic Relative of the Magnon S-Matrix
• Coordinate Bethe Ansatz for the String S-Matrix
• q-Deformed Supersymmetry and Dynamic Magnon Representations
• An Exceptional Algebraic Origin of the AdS/CFT Yangian Symmetry
• Quantum Scattering of Giant Magnons
• On the perturbative S-matrix of generalized sine-Gordon models
• Bound State Transfer Matrix for AdS5 x S5 Superstring
• The AdS(n) x S(n) x T(10-2n) BMN string at two loops
• Factorized world-sheet scattering in near-flat AdS_5 x S^5
• The Zamolodchikov-Faddeev algebra for open strings attached to giant gravitons
• Landau-Lifshitz sigma-models, fermions and the AdS/CFT correspondence
• The AdS(4) x CP(3) string and its Bethe equations in the near plane wave limit
• TTbar deformation and the light-cone gauge
• Resurgence of the dressing phase for ${\mathrm{AdS}}_5\times {\mathrm{S}}^5$
• Integrable open spin-chains in AdS3/CFT2 correspondences
• Semiclassical Quantization of the Giant Magnon
• On n-point Amplitudes in N=4 SYM
• The S-matrix algebra of the AdS2 X S2 superstring
• Scattering in AdS(2)/CFT(1) and the BES Phase
• Comments on World-Sheet Form Factors in AdS/CFT
• Secret Symmetries in AdS/CFT
• Universal blocks of the AdS/CFT Scattering Matrix
• Classifying integrable symmetric space strings via factorized scattering
• Review of AdS/CFT Integrability, Chapter II.2: Quantum Strings in AdS5xS5
• Structure of the string R-matrix
• Integrable strings for AdS/CFT
• Factorized Tree-level Scattering in AdS_4 x CP^3
• Worldsheet S-matrix of beta-deformed SYM
• Current Algebra and Integrability of Principal Chiral Model on the World-sheet with General Metric
• On string integrability. A journey through the two-dimensional hidden symmetries in the AdS/CFT dualities
• One-loop spectroscopy of semiclassically quantized strings: bosonic sector
• On S-Matrix factorization of the Landau-Lifshitz model
• On the scattering of gluons in the GKP string
• Note About Integrability and Gauge Fixing for Bosonic String on AdS(5)xS(5)
• Full One-loop Electro-Weak Corrections to Three-jet Observables at the Z pole and Beyond
• On the origin of the dressing phase in N=4 Super Yang-Mills
• The S-matrix of the Faddeev-Reshetikhin Model, Diagonalizability and PT Symmetry
• SU(2|2) for Theories with Sixteen Supercharges at Weak and Strong Coupling
• Testing the nested light-cone Bethe equations of the AdS_5 x S^5 superstring
• The twisted story of worldsheet scattering in $\eta$-deformed $Ad{S}_5\times S^5$
• N-body Dynamics of Giant Magnons in RxS2
• Semiclassical SL(2) Strings on LLM backgrounds
• The Ising model and planar N=4 Yang-Mills
• Microscopic formulation of the S-matrix in AdS/CFT
• The massless S-matrix of integrable $\sigma$-models
• Classical Lie Bialgebras for AdS/CFT Integrability by Contraction and Reduction
• Matrix Reduction and the su(2|2) superalgebra in AdS/CFT
• A Supersymmetry Preserving Mass-Deformation of N=1 Super Yang-Mills in D=2+1
• Unitarity methods for scattering in two dimensions