Worldsheet two- and four-point functions at one loop in AdS(3) / CFT(2)

Abstract

In this note we study worldsheet two- and four-point functions at the one-loop level for the type IIA superstring in AdS(3) x S(3) x M(4) . We first address the regularization ambiguity that appears in the dispersion relation derived from integrability. We demonstrate that only the regulator treating all fields equally respects worldsheet supersymmetry. This is done in an implicit regularization scheme where all divergent terms are collected into master tadpole-type integrals. We then investigate one-loop two-body scattering on the string worldsheet and verify that a recent proposal for the dressing phase reproduces explicit worldsheet computations. All calculations are done in a near-BMN like expansion of the Green-Schwarz superstring equipped with quartic fermions.

11 pages, FeynMP. Version 2; footnote added and typos fixed, published version

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Cited by in corpus (21)

• 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
• 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
• 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
• 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
• Elliptic solutions in the Neumann-Rosochatius system with mixed flux
• The AdS(n) x S(n) x T(10-2n) BMN string at two loops
• The S-matrix algebra of the AdS2 X S2 superstring
• Massless sector of AdS_3 superstrings: a geometric interpretation
• Classifying integrable symmetric space strings via factorized scattering
• Pulsating strings with mixed three-form flux
• An improved AFS phase for AdS3 string integrability
• Integrable strings for AdS/CFT
• On the scattering of gluons in the GKP string
• Geometry of Massless Scattering in Integrable Superstring
• Norms and scalar products for AdS_3