Two-dimensional S-matrices from unitarity cuts

Abstract

Using unitarity methods, we compute, for several massive two-dimensional models, the cut-constructible part of the one-loop 2->2 scattering S-matrices from the tree-level amplitudes. We apply our method to various integrable theories, finding evidence that for supersymmetric models the one-loop S-matrix is cut-constructible, while for models without supersymmetry (but with integrability) the missing rational terms are proportional to the tree-level S-matrix and therefore can be interpreted as a shift in the coupling. Finally, applying our procedure to the world-sheet theory for the light-cone gauge-fixed AdS_5 x S^5 superstring we reproduce, at one-loop in the near-BMN expansion, the S-matrix known from integrability techniques.

23 pages, 1 figure; v2: 24 pages, minor corrections, reference and note added; v3: minor typos corrected

References in corpus (24)

• The AdS_5xS^5 superstring worldsheet S-matrix and crossing symmetry
• Finite-size Effects from Giant Magnons
• Spinning strings and AdS/CFT duality
• The Off-shell Symmetry Algebra of the Light-cone AdS_5 x S^5 Superstring
• On AdS_5 x S^5 String S-matrix
• Pohlmeyer reduction of AdS_5 x S^5 superstring sigma model
• B-field in AdS(3)/CFT(2) Correspondence and Integrability
• Two-loop world-sheet corrections in AdS_5 x S^5 superstring
• On string theory on AdS_3 x S^3 x T^4 with mixed 3-form flux: tree-level S-matrix
• The AdS5xS5 Superstring in Light-Cone Gauge and its Bethe Equations
• Connecting giant magnons to the pp-wave: An interpolating limit of $Ad{S}_5\times S^5$
• Worldsheet scattering in AdS(3)/CFT(2)
• World-sheet scattering in AdS_5 x S^5 at two loops
• On reduced models for superstrings on AdS_n x S^n
• Sine-Gordon-like action for the Superstring in AdS(5) x S(5)
• Restoring Unitarity in the q-Deformed World-Sheet S-Matrix
• UV finiteness of Pohlmeyer-reduced form of the AdS_5xS^5 superstring theory
• The AdS(5)xS(5) Semi-Symmetric Space Sine-Gordon Theory
• On the perturbative S-matrix of generalized sine-Gordon models
• Generalized unitarity and the worldsheet S matrix in AdS_n x S^n x M^(10-2n)
• Factorized world-sheet scattering in near-flat AdS_5 x S^5
• Minimal solution of the AdS/CFT crossing equation
• Supersymmetry Flows, Semi-Symmetric Space Sine-Gordon Models And The Pohlmeyer Reduction
• Factorized Tree-level Scattering in AdS_4 x CP^3

Cited by in corpus (40)

• Giant magnon solution and dispersion relation in string theory in AdS_3 x S^3 x T^4 with mixed flux
• Dressing phases of AdS3/CFT2
• Massive S-matrix of AdS_3 x S^3 x T^4 superstring theory with mixed 3-form flux
• Towards integrability for AdS3/CFT2
• $Ad{S}_3\times S^3\times M^4$ string S-matrices from unitarity cuts
• Finite-gap equations for strings on AdS_3 x S^3 x T^4 with mixed 3-form flux
• The one-loop worldsheet S-matrix for the AdS(n) x S(n) x T(10-2n) superstring
• Superisometries and integrability of superstrings
• Precision calculation of 1/4-BPS Wilson loops in AdS${}_5\times S^5$
• On the Dressing Factors, Bethe Equations and Yangian Symmetry of Strings on AdS3 x S3 x T4
• Massless Lüscher Terms and the Limitations of the AdS3 Asymptotic Bethe Ansatz
• $Ad{S}_3/CF{T}_2$, finite-gap equations and massless modes
• Integrable S-matrices, massive and massless modes and the AdS_2 x S^2 superstring
• Secret Symmetries of Type IIB Superstring Theory on AdS3 x S3 x M4
• Two-loop cusp anomaly in ABJM at strong coupling
• Macroscopic (and Microscopic) Massless Modes
• The Effectiveness of Relativistic Invariance in AdS${}_3$
• Non-split and split deformations of AdS_5
• Generalized unitarity and the worldsheet S matrix in AdS_n x S^n x M^(10-2n)
• The AdS(n) x S(n) x T(10-2n) BMN string at two loops
• The AdS3 x S3 x S3 x S1 Hernandez-Lopez Phases: a Semiclassical Derivation
• Resurgence of the dressing phase for ${\mathrm{AdS}}_5\times {\mathrm{S}}^5$
• Integrable open spin-chains in AdS3/CFT2 correspondences
• Free Fermions, vertex Hamiltonians, and lower-dimensional AdS/CFT
• The S-matrix algebra of the AdS2 X S2 superstring
• Non-planarity through unitarity in ABJM
• Comments on World-Sheet Form Factors in AdS/CFT
• Massless sector of AdS_3 superstrings: a geometric interpretation
• Classifying integrable symmetric space strings via factorized scattering
• Worldsheet scattering for the GKP string
• One-loop spectroscopy of semiclassically quantized strings: bosonic sector
• On the scattering of gluons in the GKP string
• Green-Schwarz superstring on the lattice
• Boost generator in AdS_3 integrable superstrings for general braiding
• A study of integrable form factors in massless relativistic AdS_3
• Geometry of Massless Scattering in Integrable Superstring
• One-loop inelastic amplitudes from tree-level elasticity in 2d
• Remarks on the geometrical properties of semiclassically quantized strings
• Unitarity methods for scattering in two dimensions
• On regularizing the AdS superstring worldsheet