Worldsheet scattering in AdS(3)/CFT(2)

Abstract

We confront the recently proposed exact S-matrices for AdS(3)/CFT(2) with direct worldsheet calculations. Utilizing the BMN and Near Flat Space (NFS) expansions for strings on AdS(3) x S(3) x S(3) x S(1) and AdS(3) x S(3) x T(4) we compute both tree-level and one-loop scattering amplitudes. Up to some minor issues we find nice agreement in the tree-level sector. At the one-loop level however we find that certain non-zero tree-level processes, which are not visible in the exact solution, contribute, via the optical theorem, and give an apparent mismatch for certain amplitudes. Furthermore we find that a proposed one-loop modification of the dressing phase correctly reproduces the worldsheet calculation while the standard Hernandez-Lopez phase does not. We also compute several massless to massless processes.

20 pages, 1 figure; v2: Some clarifications in comparison to literature

References in corpus (9)

• Quantum corrections to the string Bethe ansatz
• B-field in AdS(3)/CFT(2) Correspondence and Integrability
• The all-loop integrable spin-chain for strings on AdS_3 x S^3 x T^4: the massive sector
• Connecting giant magnons to the pp-wave: An interpolating limit of $Ad{S}_5\times S^5$
• Quantum corrections to spinning superstrings in AdS_3 x S^3 x M^4: determining the dressing phase
• S-matrix for magnons in the D1-D5 system
• Comment on Strings in AdS3 x S3 x S3 x S1 at One Loop
• Quantum corrections to short folded superstring in AdS_3 x S^3 x M^4
• On the massless modes of the AdS3/CFT2 integrable systems

Cited by in corpus (57)

• The all-loop integrable spin-chain for strings on AdS_3 x S^3 x T^4: the massive sector
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• Giant magnon solution and dispersion relation in string theory in AdS_3 x S^3 x T^4 with mixed flux
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• Massive S-matrix of AdS_3 x S^3 x T^4 superstring theory with mixed 3-form flux
• Towards integrability for AdS3/CFT2
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• Finite-gap equations for strings on AdS_3 x S^3 x T^4 with mixed 3-form flux
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• Two-dimensional S-matrices from unitarity cuts
• The one-loop worldsheet S-matrix for the AdS(n) x S(n) x T(10-2n) superstring
• Superisometries and integrability of superstrings
• On the Dressing Factors, Bethe Equations and Yangian Symmetry of Strings on AdS3 x S3 x T4
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• 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
• Spinning strings and minimal surfaces in $Ad{S}_3$ with mixed 3-form fluxes
• Spinning strings in AdS_3 x S^3 with NS-NS flux
• Secret Symmetries of Type IIB Superstring Theory on AdS3 x S3 x M4
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• The low-energy limit of AdS${}_3$/CFT${}_2$ and its TBA
• The complete one-loop BMN S-matrix in AdS(3) x S(3) x T(4)
• Macroscopic (and Microscopic) Massless Modes
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• Worldsheet two- and four-point functions at one loop in AdS(3) / CFT(2)
• Mirror Thermodynamic Bethe Ansatz for AdS3/CFT2
• Elliptic solutions in the Neumann-Rosochatius system with mixed flux
• 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
• String solutions in AdS_3 x S^3 x T^4 with NS-NS B-field
• The AdS3 x S3 x S3 x S1 Hernandez-Lopez Phases: a Semiclassical Derivation
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• The low energy limit of the AdS(3) x S(3) x M(4) spinning string
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• Pulsating strings with mixed three-form flux
• Classifying integrable symmetric space strings via factorized scattering
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• String solutions in $Ad{S}_3\times S^3\times S^3\times S^1$ with $B$-field