One- and two-loop checks for the AdS(3) x S(3) x T(4) superstring with mixed flux

Abstract

We compute the one-loop worldsheet S-matrix for the superstring in AdS(3) x S(3) x T(4) supported by a combination of RR and NSNS flux in the massive sector. In the appropriate regularization scheme it agrees with the S-matrix found from symmetry considerations including the proposed dressing phases. As previously observed in other cases the massless modes decouple from the calculation of one-loop massive mode scattering. We also calculate the correction to the dispersion relation at two loops in the Near-Flat-Space limit and find agreement with a proposal for the form of the exact dispersion relation for the massive modes. Somewhat surprisingly the massless modes again decouple from the calculation (in a suitable regularization scheme). We also compute the correction to the dispersion relation for the massless modes and compare to a suggestion for the exact dispersion relation, finding a small discrepancy. The corresponding calculations for AdS(5) x S(5) and AdS(2) x S(2) x T(6) are used for comparison.

22 pages; v2: Minor clarifications and references added. Matches published version

References in corpus (13)

• Green-Schwarz action for Type IIA strings on $Ad{S}_4\times C{P}^3$
• The Off-shell Symmetry Algebra of the Light-cone AdS_5 x S^5 Superstring
• B-field in AdS(3)/CFT(2) Correspondence and Integrability
• The complete worldsheet S matrix of superstrings on AdS_3 x S^3 x T^4 with mixed three-form flux
• The complete AdS_3 x S^3 x T^4 worldsheet S-matrix
• Connecting giant magnons to the pp-wave: An interpolating limit of $Ad{S}_5\times S^5$
• All-loop worldsheet S matrix for AdS_3 x S^3 x T^4
• 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
• World-sheet scattering in AdS_5 x S^5 at two loops
• Evidence for the classical integrability of the complete AdS(4) x CP(3) superstring
• Integrable S-matrices, massive and massless modes and the AdS_2 x S^2 superstring

Cited by in corpus (6)

• Double Wick rotating Green-Schwarz strings
• On the Dressing Factors, Bethe Equations and Yangian Symmetry of Strings on AdS3 x S3 x T4
• Macroscopic (and Microscopic) Massless Modes
• Elliptic solutions in the Neumann-Rosochatius system with mixed flux
• The ${\mathrm{AdS}}_3\times {\mathrm{S}}^3\times {\mathrm{S}}^3\times {\mathrm{S}}^1$ worldsheet S matrix
• String theory in AdS_3 x S^3 x T^4 with mixed flux: semiclassical and 1-loop phase in the S-matrix