$Ad{S}_3\times S^3\times M^4$ string S-matrices from unitarity cuts

Abstract

Continuing the program initiated in arXiv:1304.1798 we investigate unitarity methods applied to two-dimensional integrable field theories. The one-loop computation is generalized to encompass theories with different masses in the asymptotic spectrum and external leg corrections. Additionally, the prescription for working with potentially singular cuts is modified to cope with an ambiguity that was not encountered before. The resulting methods are then applied to three light-cone gauge string theories; i) $Ad{S}_3\times S^3\times T^4$ supported by RR flux, ii) $Ad{S}_3\times S^3\times S^3\times S^1$ supported by RR flux and iii) $Ad{S}_3\times S^3\times T^4$ supported by a mix of RR and NSNS fluxes. In the first case we find agreement with the exact result following from symmetry considerations and in the second case with one-loop semiclassical computations. This agreement crucially includes the rational terms and hence supports the conjecture that S-matrices of integrable field theories are cut-constructible, up to a possible shift in the coupling. In the final case, under the assumption that our methods continue to give all rational terms, we give a conjecture for the one-loop phases.

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Cited by in corpus (23)

• 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
• Towards integrability for AdS3/CFT2
• Finite-gap equations for strings on AdS_3 x S^3 x T^4 with mixed 3-form flux
• On the Dressing Factors, Bethe Equations and Yangian Symmetry of Strings on AdS3 x S3 x T4
• Towards the One-loop Kahler Metric of Calabi-Yau Orientifolds
• Spinning strings and minimal surfaces in $Ad{S}_3$ with mixed 3-form fluxes
• Integrable S-matrices, massive and massless modes and the AdS_2 x S^2 superstring
• Two-loop cusp anomaly in ABJM at strong coupling
• New Dressing Factors for AdS3/CFT2
• Macroscopic (and Microscopic) Massless Modes
• One- and two-loop checks for the AdS(3) x S(3) x T(4) superstring with mixed flux
• Mirror Thermodynamic Bethe Ansatz for AdS3/CFT2
• 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
• Free Fermions, vertex Hamiltonians, and lower-dimensional AdS/CFT
• Massless sector of AdS_3 superstrings: a geometric interpretation
• An improved AFS phase for AdS3 string integrability
• One-loop spectroscopy of semiclassically quantized strings: bosonic sector
• String theory in AdS_3 x S^3 x T^4 with mixed flux: semiclassical and 1-loop phase in the S-matrix
• One-loop inelastic amplitudes from tree-level elasticity in 2d
• Norms and scalar products for AdS_3
• On regularizing the AdS superstring worldsheet