Quantum corrections to spinning superstrings in AdS_3 x S^3 x M^4: determining the dressing phase

Abstract

We study the leading quantum string correction to the dressing phase in the asymptotic Bethe Ansatz system for superstring in AdS_3 x S^3 x T^4 supported by RR flux. We find that the phase should be different from the BES phase appearing in the AdS_5 x S^5 case. We use the simplest example of a rigid circular string with two equal spins in S^3 and also consider the general approach based on the algebraic curve description. We also discuss the case of the AdS_3 x S^3 x S^3 x S^1 theory and find the dependence of the 1-loop correction to the effective string tension function h(λ) (expected to enter the magnon dispersion relation) on the parameters alpha related to the ratio of the two 3-sphere radii. This correction vanishes in the AdS_3 x S^3 x T^4 case.

34 pages; v2: typos fixed, references added, minor corrections; v3: some explanations and sect.4.4 are added; references added

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Cited by in corpus (56)

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• The all-loop integrable spin-chain for strings on AdS_3 x S^3 x T^4: the massive sector
• On string theory on AdS_3 x S^3 x T^4 with mixed 3-form flux: tree-level S-matrix
• The complete AdS_3 x S^3 x T^4 worldsheet S-matrix
• Giant magnon solution and dispersion relation in string theory in AdS_3 x S^3 x T^4 with mixed flux
• All-loop Bethe ansatz equations for AdS3/CFT2
• Dressing phases of AdS3/CFT2
• Massive S-matrix of AdS_3 x S^3 x T^4 superstring theory with mixed 3-form flux
• Towards integrability for AdS3/CFT2
• Worldsheet scattering in AdS(3)/CFT(2)
• $Ad{S}_3\times S^3\times M^4$ string S-matrices from unitarity cuts
• Protected string spectrum in AdS3/CFT2 from worldsheet integrability
• Finite-gap equations for strings on AdS_3 x S^3 x T^4 with mixed 3-form flux
• The one-loop worldsheet S-matrix for the AdS(n) x S(n) x T(10-2n) superstring
• $T\bar{T}$ deformations and integrable spin chains
• On the Dressing Factors, Bethe Equations and Yangian Symmetry of Strings on AdS3 x S3 x T4
• Massless Lüscher Terms and the Limitations of the AdS3 Asymptotic Bethe Ansatz
• $Ad{S}_3/CF{T}_2$, finite-gap equations and massless modes
• Spinning strings and minimal surfaces in $Ad{S}_3$ with mixed 3-form fluxes
• Spinning strings in AdS_3 x S^3 with NS-NS flux
• Secret Symmetries of Type IIB Superstring Theory on AdS3 x S3 x M4
• The complete one-loop BMN S-matrix in AdS(3) x S(3) x T(4)
• Macroscopic (and Microscopic) Massless Modes
• Worldsheet two- and four-point functions at one loop in AdS(3) / CFT(2)
• The Effectiveness of Relativistic Invariance in AdS${}_3$
• Quantum corrections to short folded superstring in AdS_3 x S^3 x M^4
• Exact S-matrices for AdS_3/CFT_2
• On the spectrum of AdS3 x S3 x T4 strings with Ramond-Ramond flux
• Elliptic solutions in the Neumann-Rosochatius system with mixed flux
• 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
• String solutions in AdS_3 x S^3 x T^4 with NS-NS B-field
• The AdS3 x S3 x S3 x S1 Hernandez-Lopez Phases: a Semiclassical Derivation
• The ${\mathrm{AdS}}_3\times {\mathrm{S}}^3\times {\mathrm{S}}^3\times {\mathrm{S}}^1$ worldsheet S matrix
• A note on oscillating strings in $Ad{S}_3\times S^3$ with mixed three-form fluxes
• The low energy limit of the AdS(3) x S(3) x M(4) spinning string
• Integrable open spin-chains in AdS3/CFT2 correspondences
• Free Fermions, vertex Hamiltonians, and lower-dimensional AdS/CFT
• Scattering in AdS(2)/CFT(1) and the BES Phase
• Massless sector of AdS_3 superstrings: a geometric interpretation
• Integrable Deformations of the XXZ Spin Chain
• Pulsating strings with mixed three-form flux
• An improved AFS phase for AdS3 string integrability
• Integrable strings for AdS/CFT
• 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 quantization of rigid spinning strings in $Ad{S}_3\times S^3\times T^4$ with mixed flux
• 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
• $q$-Poincaré invariance of the $Ad{S}_3/CF{T}_2$ $R$-matrix
• Multi-spike strings in $Ad{S}_3$ with mixed three-form fluxes
• A study of integrable form factors in massless relativistic AdS_3
• Geometry of Massless Scattering in Integrable Superstring
• N spike D-strings in AdS Space with mixed flux
• Quantum Spectral Curve for AdS${}_3$/CFT${}_2$: a proposal
• Boosts superalgebras based on centrally-extended su(1|1)^2
• String solutions in $Ad{S}_3\times S^3\times S^3\times S^1$ with $B$-field