Superstrings in AdS(2)xS(2)xT(6)

Abstract

We consider the type IIB Green-Schwarz superstring theory on AdS(2)xS(2)xT(6) supported by homogeneous Ramond-Ramond 5-form flux and its type IIA T-duals. One motivation is to understand the solution of this theory based on integrability. This background is a limit of a 1/4 supersymmetric supergravity solution describing four intersecting D3-branes and represents a consistent embedding of AdS(2)xS(2) into critical superstring theory. Its AdS(2)xS(2) part with corresponding fermions can be described by a classically integrable PSU(1,1|2)/SO(1,1)xU(1) supercoset sigma-model. We point out that since the RR 5-form field has non-zero components along the 6-torus directions one cannot, in general, factorize the 10d superstring theory into the supercoset part plus 6 bosons and 6 additional massless fermions. Still, we demonstrate that the full superstring model (i) is classically integrable, at least to quadratic order in fermions, and (ii) admits a consistent classical truncation to the supercoset part. Following the analogy with other integrable backgrounds and starting with the finite-gap equations of the PSU(1,1|2)/SO(1,1)xU(1) supercoset we propose a set of asymptotic Bethe ansatz equations for a subset of the quantum string states.

49 pages, 1 figure; v2: misprints corrected, references added

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• The all loop AdS4/CFT3 Bethe ansatz
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• On the Singularities of the Magnon S-matrix
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• Semiclassical Quantization of the Giant Magnon
• Study of tau-pair production at HERA

Cited by in corpus (60)

• On deformations of AdS_n x S^n supercosets
• Target space supergeometry of $\eta$ and $\lambda$-deformed strings
• The complete worldsheet S matrix of superstrings on AdS_3 x S^3 x T^4 with mixed three-form flux
• Spacetimes for λ-deformations
• Integrability, spin-chains and the AdS3/CFT2 correspondence
• Classical integrability and quantum aspects of the AdS(3) x S(3) x S(3) x S(1) superstring
• Supergravity backgrounds for deformations of AdS_n x S^n supercoset string models
• Near BMN dynamics of the AdS(3) x S(3) x S(3) x S(1) superstring
• Worldsheet scattering in AdS(3)/CFT(2)
• Supergravity background of lambda-deformed model for AdS2 x S2 supercoset
• Towards the quantum S-matrix of the Pohlmeyer reduced version of AdS_5 x S^5 superstring theory
• Supergravity background of the lambda-deformed AdS_3 x S^3 supercoset
• Two-dimensional S-matrices from unitarity cuts
• Generalized cusp in AdS_4 x CP^3 and more one-loop results from semiclassical strings
• On (non)integrability of classical strings in p-brane backgrounds
• The one-loop worldsheet S-matrix for the AdS(n) x S(n) x T(10-2n) superstring
• Monodromy Bootstrap for SU(2|2) Quantum Spectral Curves: From Hubbard model to AdS3/CFT2
• $Ad{S}_3/CF{T}_2$, finite-gap equations and massless modes
• On integrability of strings on symmetric spaces
• 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
• The Chern-Simons Origin of Superstring Integrability
• Macroscopic (and Microscopic) Massless Modes
• Worldsheet two- and four-point functions at one loop in AdS(3) / CFT(2)
• More on integrable structures of superstrings in AdS(4) x CP(3) and AdS(2) x S(2) x T(6) superbackgrounds
• Exact S-matrices for AdS_3/CFT_2
• Superspace conformal field theory
• Type IIB supergravity solution for the T-dual of the eta-deformed AdS_5 x S^5 superstring
• 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
• The type II superstring to order theta^4
• The low energy limit of the AdS(3) x S(3) x M(4) spinning string
• Generalized $\lambda$-deformations of AdS_p x S^p
• The S-matrix algebra of the AdS2 X S2 superstring
• Free Fermions, vertex Hamiltonians, and lower-dimensional AdS/CFT
• Condition on Ramond-Ramond fluxes for factorization of worldsheet scattering in anti-de Sitter space
• Integrable Superstrings on the Squashed Three-sphere
• Super Poisson-Lie symmetry of the GL(1|1) WZNW model and worldsheet boundary conditions
• Lie Algebra Expansion and Integrability in Superstring Sigma-Models
• Integrable supersymmetric deformations of $\mathrm{Ad}{\mathrm{S}}_3\times {\mathrm{S}}^3\times {\mathrm{T}}^4$
• String cosmology from Poisson-Lie T-dual sigma models on supermanifolds
• Massless $Ad{S}_2$ scattering and Bethe ansatz
• Integrable deformations of AdS/CFT
• Analytical Structure of the Generalized $\lambda -$deformation
• Scalar fields on λ-deformed cosets
• Orbit method quantization of the AdS${}_2$ superparticle
• Semiclassical equivalence of Green-Schwarz and Pure-Spinor/Hybrid formulations of superstrings in AdS(5) x S(5) and AdS(2) x S(2) x T(6)
• Fermionic T-Duality of $Ad{S}_n\times S^n(\times S^n)\times T^m$ using IIA Supergravity
• $q$-Poincaré invariance of the $Ad{S}_3/CF{T}_2$ $R$-matrix
• Bubbling geometries for AdS_2 x S^2
• Kaluza-Klein gauge and minimal integrable extension of OSp(4|6)/(SO(1,3) x U(3)) sigma-model
• On $Ad{S}_2/CF{T}_1$ transfer matrices, Bethe ansatz and scale invariance
• Coset construction of AdS particle dynamics
• Pohlmeyer reduction for superstrings in AdS space
• Geometry of Massless Scattering in Integrable Superstring
• Lagrangian mechanics of massless superparticle on AdS_4 x CP^3 superbackground
• Minisuperspace quantization of bubbling AdS${}_2\times$S${}^2$ geometries
• A study of integrable form factors in massless relativistic $Ad{S}_2$
• On integrability of massless AdS_4 x CP^3 superparticle equations
• Spectra of Sigma Models on Semi-Symmetric Spaces