The complete one-loop BMN S-matrix in AdS(3) x S(3) x T(4)

Abstract

We compute the full one-loop 2-particle S-matrix for excitations of the type IIB AdS(3) x S(3) x T(4) BMN string. The S-matrix is found to respect the expected symmetries and the phases are consistent with the crossing equations. By analyzing how the relevant integrals scale with the IR regulator we show that scattering of massless bosons is trivial at two loops. Based on our results we argue that the additional su(2) S-matrix appearing in the massless sector in the exact solution should trivialize.

arXiv comment20 pages; v2: References and minor clarification added

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Cited by in corpus (22)

• Protected string spectrum in AdS3/CFT2 from worldsheet integrability
• On the Dressing Factors, Bethe Equations and Yangian Symmetry of Strings on AdS3 x S3 x T4
• 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
• The low-energy limit of AdS${}_3$/CFT${}_2$ and its TBA
• New Dressing Factors for AdS3/CFT2
• Mirror Thermodynamic Bethe Ansatz for AdS3/CFT2
• On the spectrum of AdS3 x S3 x T4 strings with Ramond-Ramond flux
• Resurgence of the dressing phase for ${\mathrm{AdS}}_5\times {\mathrm{S}}^5$
• Free Fermions, vertex Hamiltonians, and lower-dimensional AdS/CFT
• Massless sector of AdS_3 superstrings: a geometric interpretation
• Classifying integrable symmetric space strings via factorized scattering
• One-loop quantization of rigid spinning strings in $Ad{S}_3\times S^3\times T^4$ with mixed flux
• $q$-Poincaré invariance of the $Ad{S}_3/CF{T}_2$ $R$-matrix
• Boost generator in AdS_3 integrable superstrings for general braiding
• S matrix for a three-parameter integrable deformation of $Ad{S}_3\times S^3$ strings
• A study of integrable form factors in massless relativistic AdS_3
• On N-spike strings in conformal gauge with NS-NS fluxes
• On multi-spin classical strings with NS-NS flux
• Geometry of Massless Scattering in Integrable Superstring
• One-loop inelastic amplitudes from tree-level elasticity in 2d
• $N$-spike string in $Ad{S}_3\times S^1$ with mixed flux
• Neumann-Rosochatius system for rotating strings in $Ad{S}_3\times S^3\times S^3\times S^1$ with flux