Finite-gap equations for strings on AdS_3 x S^3 x T^4 with mixed 3-form flux

Abstract

We study superstrings on AdS_3 x S^3 x T^4 supported by a combination of Ramond-Ramond and Neveu-Schwarz-Neveu-Schwarz three form fluxes, and construct a set of finite-gap equations that describe the classical string spectrum. Using the recently proposed all-loop S-matrix we write down the all-loop Bethe ansatz equations for the massive sector. In the thermodynamic limit the Bethe ansatz reproduces the finite-gap equations. As part of this derivation we propose expressions for the leading order dressing phases. These phases differ from the well-known Arutyunov-Frolov-Staudacher phase that appears in the pure Ramond-Ramond case. We also consider the one-loop quantization of the algebraic curve and determine the one-loop corrections to the dressing phases. Finally we consider some classical string solutions including finite size giant magnons and circular strings.

44 pages, 3 figures. v2: references and a discussion about perturbative results added

References in corpus (29)

• Giant Magnons
• The AdS_5xS^5 superstring worldsheet S-matrix and crossing symmetry
• Green-Schwarz action for Type IIA strings on $Ad{S}_4\times C{P}^3$
• Finite-size Effects from Giant Magnons
• Quantum corrections to the string Bethe ansatz
• Dyonic Giant Magnons
• B-field in AdS(3)/CFT(2) Correspondence and Integrability
• Wrapping interactions at strong coupling -- the giant magnon
• The complete AdS_3 x S^3 x T^4 worldsheet S-matrix
• Infinite spin limit of semiclassical string states
• All-loop worldsheet S matrix for AdS_3 x S^3 x T^4
• Complete 1-loop test of AdS/CFT
• Quantum corrections to spinning superstrings in AdS_3 x S^3 x M^4: determining the dressing phase
• $Ad{S}_3\times S^3\times M^4$ string S-matrices from unitarity cuts
• Gauge invariant finite size spectrum of the giant magnon
• S-matrix for magnons in the D1-D5 system
• The AdS(5)xS(5) superstring quantum spectrum from the algebraic curve
• Finite-Size Effects for Dyonic Giant Magnons
• Constructing the AdS/CFT dressing factor
• Finite size effects for giant magnons on physical strings
• Comment on Strings in AdS3 x S3 x S3 x S1 at One Loop
• Integrability of Type II Superstrings on Ramond-Ramond Backgrounds in Various Dimensions
• Finite size giant magnons in the SU(2) x SU(2) sector of AdS_4 x CP^3
• Worldsheet two- and four-point functions at one loop in AdS(3) / CFT(2)
• Finite-Size Effects for Multi-Magnon States
• Interacting finite-size magnons
• Quantum Scattering of Giant Magnons
• String solutions in AdS_3 x S^3 x T^4 with NS-NS B-field
• Finite size giant magnons and interactions

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 a two-parameter q-deformation of AdS_3 x S^3 x M^4 superstrings
• $Ad{S}_3\times S^3\times M^4$ string S-matrices from unitarity cuts
• On the Dressing Factors, Bethe Equations and Yangian Symmetry of Strings on AdS3 x S3 x T4
• 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
• Integrable S-matrices, massive and massless modes and the AdS_2 x S^2 superstring
• One- and two-loop checks for the AdS(3) x S(3) x T(4) superstring with mixed flux
• 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
• 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