B-field in AdS(3)/CFT(2) Correspondence and Integrability

Abstract

We construct topological Wess-Zumino term for supercoset sigma-models on various AdS(3) backgrounds. For appropriately chosen set of parameters, the sigma-model remains integrable when the Wess-Zumino term is added to the action. Moreover, the conditions for integrability, kappa-symmetry and conformal invariance are equivalent to each other.

27 pages, 1 figure, v2: misprints corrected, reference added, v3: misprints in (4.1) and (4.2) corrected

References in corpus (31)

• Strings in flat space and pp waves from $\mathcal{N}=4$ Super Yang Mills
• Review of AdS/CFT Integrability: An Overview
• Hidden Symmetries of the AdS_5 x S^5 Superstring
• Type IIB superstring action in AdS_5 x S^5 background
• Strings in AdS_3 and the SL(2,R) WZW Model. Part 1: The Spectrum
• Strings in AdS_3 and the SL(2,R) WZW Model. Part 2: Euclidean Black Hole
• Conformal Field Theory of AdS Background with Ramond-Ramond Flux
• The Algebraic Curve of Classical Superstrings on AdS_5xS^5
• Strings in AdS_3 and the SL(2,R) WZW Model. Part 3: Correlation Functions
• Superstring Theory on AdS_2 x S^2 as a Coset Supermanifold
• Integrability and the AdS(3)/CFT(2) correspondence
• Strings on Semisymmetric Superspaces
• 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
• String Theory on AdS_3 x S^3 x S^3 x S^1
• Near BMN dynamics of the AdS(3) x S(3) x S(3) x S(1) superstring
• Conformal Fixed Points of Unidentified Gauge Theories
• One Loop Conformal Invariance of the Superstring in an AdS_5 x S^5 Background
• The GS Type IIB Superstring Action on AdS(3) X S(3) X T(4)
• Integrability of Green-Schwarz Sigma Models with Boundaries
• The classical R-matrix of AdS/CFT and its Lie dialgebra structure
• Conformal Sigma-Models on Supercoset Targets
• Integrability of Type II Superstrings on Ramond-Ramond Backgrounds in Various Dimensions
• Superparticle and superstring in AdS_3 x S^3 Ramond-Ramond background in light-cone gauge
• Flat Currents of the Green-Schwarz Superstrings in AdS_5 x S^1 and AdS_3 x S^3 backgrounds
• Boundary Spectra in Superspace Sigma-Models
• Asymptotic Symmetries of String Theory on AdS3 X S3 with Ramond-Ramond Fluxes
• Operator Product Expansion for Pure Spinor Superstring on AdS(5)*S(5)
• Fusion of line operators in conformal sigma-models on supergroups, and the Hirota equation
• Integrable Superstrings on the Squashed Three-sphere
• On the Non-renormalization of the AdS Radius

Cited by in corpus (91)

• On deformations of AdS_n x S^n supercosets
• The complete worldsheet S matrix of superstrings on AdS_3 x S^3 x T^4 with mixed three-form flux
• Strings on NS-NS Backgrounds as Integrable Deformations
• 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
• A dynamic su(1|1)^2 S-matrix for AdS3/CFT2
• Giant magnon solution and dispersion relation in string theory in AdS_3 x S^3 x T^4 with mixed flux
• Towards a two-parameter q-deformation of AdS_3 x S^3 x M^4 superstrings
• All-loop Bethe ansatz equations for AdS3/CFT2
• Dressing phases of AdS3/CFT2
• All-loop worldsheet S matrix for AdS_3 x S^3 x T^4
• Massive S-matrix of AdS_3 x S^3 x T^4 superstring theory with mixed 3-form flux
• Towards integrability for AdS3/CFT2
• The ${\mathrm{AdS}}_5\times {\mathrm{S}}^5$ mirror model as a string
• Worldsheet scattering in AdS(3)/CFT(2)
• Integrable Deformations of Sigma Models
• $Ad{S}_3\times S^3\times M^4$ string S-matrices from unitarity cuts
• Integrable spin chain for stringy Wess-Zumino-Witten models
• Finite-gap equations for strings on AdS_3 x S^3 x T^4 with mixed 3-form flux
• Supergravity background of the lambda-deformed AdS_3 x S^3 supercoset
• Two-dimensional S-matrices from unitarity cuts
• The one-loop worldsheet S-matrix for the AdS(n) x S(n) x T(10-2n) superstring
• Superisometries and integrability of superstrings
• Comment on Strings in AdS3 x S3 x S3 x S1 at One Loop
• On the Dressing Factors, Bethe Equations and Yangian Symmetry of Strings on AdS3 x S3 x T4
• $Ad{S}_3/CF{T}_2$, finite-gap equations and massless modes
• On integrability of strings on symmetric spaces
• 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
• On the Classical Integrability of Root-$T\overline{T}$ Flows
• Combining the bi-Yang-Baxter deformation, the Wess-Zumino term and TsT transformations in one integrable sigma-model
• The complete one-loop BMN S-matrix in AdS(3) x S(3) x T(4)
• 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
• Worldsheet two- and four-point functions at one loop in AdS(3) / CFT(2)
• The Effectiveness of Relativistic Invariance in AdS${}_3$
• Superspace conformal field theory
• On the spectrum of AdS3 x S3 x T4 strings with Ramond-Ramond flux
• Yang-Baxter deformations of the Principal Chiral Model plus Wess-Zumino term
• Marginal deformations of WZW models and the classical Yang-Baxter equation
• 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 type II superstring to order theta^4
• 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
• The low energy limit of the AdS(3) x S(3) x M(4) spinning string
• A note on oscillating strings in $Ad{S}_3\times S^3$ with mixed three-form fluxes
• Integrable open spin-chains in AdS3/CFT2 correspondences
• Scattering in AdS(2)/CFT(1) and the BES Phase
• Classifying integrable symmetric space strings via factorized scattering
• Integrability of the superstring in AdS(3) x S(2) x S(2) x T(3)
• Integrable strings for AdS/CFT
• The Tensionless Limit of Pure-Ramond-Ramond AdS3/CFT2
• String theory in AdS_3 x S^3 x T^4 with mixed flux: semiclassical and 1-loop phase in the S-matrix
• Protected states in $\mbox{AdS}_3$ backgrounds from integrability
• Scalar fields on λ-deformed cosets
• One-loop quantization of rigid spinning strings in $Ad{S}_3\times S^3\times T^4$ with mixed flux
• Analytical Structure of the Generalized $\lambda -$deformation
• 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)
• All symmetric AdS(n>2) solutions of type II supergravity
• Non-relativistic string monodromies
• Integrability and the Conformal Field Theory of the Higgs branch
• On the massless modes of the AdS3/CFT2 integrable systems
• Multi-spike strings in $Ad{S}_3$ with mixed three-form fluxes
• Integrability of D1-brane on Group Manifold with Mixed Three Form Flux
• Bubbling geometries for AdS_2 x S^2
• Perturbed symmetric-product orbifold: first-order mixing and puzzles for integrability
• D1 string dynamics in curved backgrounds with fluxes
• Three-parameter deformation of $\mathbb{R}\times S^3$ in the Landau-Lifshitz limit
• A study of integrable form factors in massless relativistic AdS_3
• On the abundance of supersymmetric strings in $Ad{S}_3\times S^3\times S^3\times S^1$ describing BPS line operators
• Charting the Conformal Manifold of Holographic CFT${}_2$'s
• Minimal surfaces with mixed three-form flux
• (p,q)-Five Brane and (p,q)-String Solutions, their Bound State and its Near Horizon Limit
• On N-spike strings in conformal gauge with NS-NS fluxes
• The plane-wave limit of ${\mathrm{AdS}}_3\times {\mathrm{S}}^3\times {\mathrm{S}}^3\times {\mathrm{S}}^1$
• On type 0 string theory in solvable RR backgrounds
• $Ad{S}_3\times S^3$ Background from Poisson-Lie T-Duality
• One-loop inelastic amplitudes from tree-level elasticity in 2d
• The $\mathrm{SL}(2,\mathbb{R})$ Wess-Zumino-Novikov-Witten spin-chain $\sigma$-model
• Neumann-Rosochatius system for (m,n) string in $Ad{S}_3\times S^3$ with mixed flux
• Hexagonalization in $Ad{S}_3\times S^3\times T^4$: Mirror Corrections
• Norms and scalar products for AdS_3
• Fermion zero modes for the mixed-flux AdS${}_3$ giant magnon
• Quantum Spectral Curve for AdS${}_3$/CFT${}_2$: a proposal
• String solutions in $Ad{S}_3\times S^3\times S^3\times S^1$ with $B$-field
• Deforming integrable models of AdS${}_3$ strings
• On the singularities of the R-R AdS_3 x S^3 x T^4 S matrix