Reduced sigma-model on AdS_5 x S^5: one-loop scattering amplitudes

Abstract

We compute one-loop S-matrix in the reduced sigma-model which describes AdS_5 x S^5 string theory in the near-flat-space limit. The result agrees with the corresponding limit of the S-matrix in the full sigma-model, which demonstrates the consistency of the reduction at the quantum level.

9 pages, 1 figure; v2: reference added; v3: misprint in (3.6) corrected; v4: typo in (3.4) corrected; v5: new form of the action

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Cited by in corpus (27)

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• Complete 1-loop test of AdS/CFT
• World-sheet scattering in AdS_5 x S^5 at two loops
• 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
• Worldsheet Form Factors in AdS/CFT
• 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
• Factorized world-sheet scattering in near-flat AdS_5 x S^5
• Semiclassical Quantization of the Giant Magnon
• Scattering in AdS(2)/CFT(1) and the BES Phase
• 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
• 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
• 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
• Testing the nested light-cone Bethe equations of the AdS_5 x S^5 superstring
• Reduced Sigma-Model on O(N): Hamiltonian Analysis and Poisson Bracket of Lax Connection
• A note on the Near Flat Limit for strings in the Maldacena-Nunez background
• Unitarity methods for scattering in two dimensions