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 (15)

• 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
• $Ad{S}_3\times S^3\times M^4$ 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
• Spinning strings and minimal surfaces in $Ad{S}_3$ with mixed 3-form fluxes
• Secret Symmetries of Type IIB Superstring Theory on AdS3 x S3 x M4
• Spinning strings in AdS_3 x S^3 with NS-NS flux
• Macroscopic (and Microscopic) Massless Modes
• Worldsheet two- and four-point functions at one loop in AdS(3) / CFT(2)
• Elliptic solutions in the Neumann-Rosochatius system with mixed flux
• String solutions in AdS_3 x S^3 x T^4 with NS-NS B-field
• The ${\mathrm{AdS}}_3\times {\mathrm{S}}^3\times {\mathrm{S}}^3\times {\mathrm{S}}^1$ worldsheet S matrix
• An improved AFS phase for AdS3 string integrability
• String theory in AdS_3 x S^3 x T^4 with mixed flux: semiclassical and 1-loop phase in the S-matrix