The Bound State S-Matrix for AdS5 x S5 Superstring

Abstract

We determine the S-matrix that describes scattering of arbitrary bound states in the light-cone string theory in AdS5 x S5. The corresponding construction relies on the Yangian symmetry and the superspace formalism for the bound state representations. The basic analytic structure supporting the S-matrix entries turns out to be the hypergeometric function 4F3. We show that for particular bound state numbers it reproduces all the scattering matrices previously obtained in the literature. Our findings should be relevant for the TBA and Luescher approaches to the finite-size spectral problem. They also shed some light on the construction of the universal R-matrix for the centrally-extended psu(2|2) superalgebra.

37 pages, 2 figures, v2: typos corrected

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• Thermodynamic Bethe Ansatz for the AdS_5 x S^5 Mirror Model
• Lectures on Yangian Symmetry
• Perturbative Four-Point Functions In Planar N=4 SYM From Hexagonalization
• TBA, NLO Luscher correction, and double wrapping in twisted AdS/CFT
• The spectral problem for strings on twisted AdS_5 x S^5
• Hexagonalization of Correlation Functions II: Two-Particle Contributions
• Yangians, S-matrices and AdS/CFT
• A Quantum Affine Algebra for the Deformed Hubbard Chain
• Handling Handles. Part II. Stratification and Data Analysis
• The Classical Trigonometric r-Matrix for the Quantum-Deformed Hubbard Chain
• Yangian symmetry and bound states in AdS/CFT boundary scattering
• Yangian symmetry of the Y=0 maximal giant graviton
• Lectures on S-matrices and Integrability
• Bound State Transfer Matrix for AdS5 x S5 Superstring
• Yangian of AdS3/CFT2 and its deformation
• Hexagons and Correlators in the Fishnet Theory
• The RTT-Realization for the Deformed gl(2|2) Yangian
• On Yangian and Long Representations of the Centrally Extended su(2|2) Superalgebra
• Integrable open spin-chains in AdS3/CFT2 correspondences
• Achiral boundaries and the twisted Yangian of the D5-brane
• The Bound State S-matrix of the Deformed Hubbard Chain
• A next-to-leading Luescher formula
• Secret Symmetries in AdS/CFT
• Positivity of hexagon perturbation theory
• Decagon at Two Loops
• Universal blocks of the AdS/CFT Scattering Matrix
• Serre Relation and Higher Grade Generators of the AdS/CFT Yangian Symmetry
• Yangian symmetry of boundary scattering in AdS/CFT and the explicit form of bound state reflection matrices
• On the reflection of magnon bound states
• Scattering of Giant Magnons in CP^3
• Fusion for the one-dimensional Hubbard model
• Yangians in Integrable Field Theories, Spin Chains and Gauge-String Dualities
• Review of AdS/CFT Integrability, Chapter III.2: Exact world-sheet S-matrix
• Review of AdS/CFT Integrability, Chapter VI.2: Yangian Algebra
• Length-two representations of quantum affine superalgebras and Baxter operators
• Reflection algebra, Yangian symmetry and bound-states in AdS/CFT
• Superspace methods for the computation of wrapping effects in the standard and beta-deformed N=4 SYM
• The Quantum Affine Origin of the AdS/CFT Secret Symmetry
• Wrapping effects in supersymmetric gauge theories
• Classical Lie Bialgebras for AdS/CFT Integrability by Contraction and Reduction
• Integrable boundaries in AdS/CFT: revisiting the Z=0 giant graviton and D7-brane
• Polylogarithms from the bound state S-matrix
• Fusion for AdS/CFT boundary S-matrices
• Bound State Scattering Simplified
• Coideal Quantum Affine Algebra and Boundary Scattering of the Deformed Hubbard Chain
• Boundary bound states and integrable Wilson loops in ABJM