World-sheet scattering in AdS_5 x S^5 at two loops

Abstract

We study the AdS_5 x S^5 sigma-model truncated to the near-flat-space limit to two-loops in perturbation theory. In addition to extending previously known one-loop results to the full SU(2|2)^2 S-matrix we calculate the two-loop correction to the dispersion relation and then compute the complete two-loop S-matrix. The result of the perturbative calculation can be compared with the appropriate limit of the conjectured S-matrix for the full theory and complete agreement is found.

26pages, 3 figures

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Cited by in corpus (45)

• Foundations of the AdS_5 x S^5 Superstring. Part I
• On String S-matrix, Bound States and TBA
• String hypothesis for the AdS_5 x S^5 mirror
• Pohlmeyer reduction of AdS_5 x S^5 superstring sigma model
• Wrapping interactions at strong coupling -- the giant magnon
• Giant magnon solution and dispersion relation in string theory in AdS_3 x S^3 x T^4 with mixed flux
• Complete 1-loop test of AdS/CFT
• The Classical r-matrix of AdS/CFT and its Lie Bialgebra Structure
• $Ad{S}_3\times S^3\times M^4$ string S-matrices from unitarity cuts
• 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
• On Drinfeld's second realization of the AdS/CFT su(2|2) Yangian
• Comment on Strings in AdS3 x S3 x S3 x S1 at One Loop
• Review of AdS/CFT Integrability, Chapter III.3: The dressing factor
• Yangians, S-matrices and AdS/CFT
• Two-loop cusp anomaly in ABJM at strong coupling
• The complete one-loop BMN S-matrix in AdS(3) x S(3) x T(4)
• On Symmetry Enhancement in the psu(1,1|2) Sector of N=4 SYM
• One- and two-loop checks for the AdS(3) x S(3) x T(4) superstring with mixed flux
• Worldsheet Form Factors in AdS/CFT
• The Classical Trigonometric r-Matrix for the Quantum-Deformed Hubbard Chain
• Interacting finite-size magnons
• 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 Zamolodchikov-Faddeev algebra for open strings attached to giant gravitons
• Factorized world-sheet scattering in near-flat AdS_5 x S^5
• Scattering in AdS(2)/CFT(1) and the BES Phase
• On n-point Amplitudes in N=4 SYM
• Classical and quantum integrability in AdS(2)/CFT(1)
• Comments on World-Sheet Form Factors in AdS/CFT
• 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
• Worldsheet scattering for the GKP string
• Integrable strings for AdS/CFT
• Factorized Tree-level Scattering in AdS_4 x CP^3
• On string integrability. A journey through the two-dimensional hidden symmetries in the AdS/CFT dualities
• On S-Matrix factorization of the Landau-Lifshitz model
• Near-flat space limit and Einstein manifolds
• Near Flat Space limit of strings on AdS_4 x CP^3
• The Ising model and planar N=4 Yang-Mills
• A note on the Near Flat Limit for strings in the Maldacena-Nunez background
• Remarks on the geometrical properties of semiclassically quantized strings
• Unitarity methods for scattering in two dimensions
• Theoretical Perspectives: XLIII Rencontres de Moriond - QCD