Supergravity background of the lambda-deformed AdS_3 x S^3 supercoset

Abstract

We construct the solution of type IIB supergravity describing the integrable lambda-deformation of the AdS_3 x S^3 supercoset. While the geometry corresponding to the deformation of the bosonic coset has been found in the past, our background is more natural for studying superstrings, and several interesting features distinguish our solution from its bosonic counterpart. We also report progress towards constructing the lambda-deformation of the AdS_5 x S^5 supercoset.

arXiv comment31 pages, v2: references added

References in corpus (48)

• The Bethe-Ansatz for 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
• Deforming field theories with $U(1)\times U(1)$ global symmetry and their gravity duals
• Exactly Marginal Operators and Duality in Four Dimensional N=1 Supersymmetric Gauge Theory
• On integrability of the Yang-Baxter $\si$-model
• Foundations of the AdS_5 x S^5 Superstring. Part I
• An integrable deformation of the AdS_5 x S^5 superstring action
• Yang-Baxter $\sigma$-models and dS/AdS T-duality
• On classical q-deformations of integrable sigma-models
• Integrable interpolations: From exact CFTs to non-Abelian T-duals
• Derivation of the action and symmetries of the q-deformed AdS_5 x S^5 superstring
• S-matrix for strings on $\eta$-deformed AdS5 x S5
• Scale invariance of the eta-deformed AdS5 x S5 superstring, T-duality and modified type II equations
• Gauge-string duality for superconformal deformations of N=4 Super Yang-Mills theory
• Beauty and the Twist: The Bethe Ansatz for Twisted N=4 SYM
• On integrable deformations of superstring sigma models related to AdS_n x S^n supercosets
• On deformations of AdS_n x S^n supercosets
• An Integrable Deformation of the AdS5 x S5 Superstring
• Integrability of the bi-Yang-Baxter sigma-model
• B-field in AdS(3)/CFT(2) Correspondence and Integrability
• The complete worldsheet S matrix of superstrings on AdS_3 x S^3 x T^4 with mixed three-form flux
• 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
• Yang-Baxter sigma models based on the CYBE
• Spacetimes for λ-deformations
• Gauge-string duality for (non)supersymmetric deformations of N=4 Super Yang-Mills theory
• 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
• Dressing phases of AdS3/CFT2
• Supergravity backgrounds for deformations of AdS_n x S^n supercoset string models
• 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
• Review of AdS/CFT Integrability, Chapter VI.1: Superconformal Symmetry
• Supergravity background of lambda-deformed model for AdS2 x S2 supercoset
• Beta Function of k Deformed AdS_5 x S^5 String Theory
• Superstrings in AdS(2)xS(2)xT(6)
• A new family of $SU(2)$ symmetric integrable sigma models
• The GS String Action on AdS(3)xS(3) with Ramond-Ramond Charge
• A Superstring Theory in Four Curved Space-Time Dimensions
• On a `universal' class of WZW-type conformal models
• On integrability of strings on symmetric spaces
• Superparticle and superstring in AdS_3 x S^3 Ramond-Ramond background in light-cone gauge
• On classical Yang-Baxter based deformations of the AdS_5 x S^5 superstring
• Supercoset construction of Yang-Baxter deformed AdS${}_5\times$S${}^5$ backgrounds
• All homogeneous pure radiation spacetimes satisfy the Einstein-Maxwell equations
• The Spacetime Geometry of a Null Electromagnetic Field

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• Target space supergeometry of $\eta$ and $\lambda$-deformed strings
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• Integrability and non-Integrability in N=2 SCFTs and their Holographic Backgrounds
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• On the Dressing Factors, Bethe Equations and Yangian Symmetry of Strings on AdS3 x S3 x T4
• $\lambda$-deformations of left-right asymmetric CFTs
• General phase spaces: from discrete variables to rotor and continuum limits
• Superintegrability of Geodesic Motion on the Sausage Model
• Two-parameter integrable deformations of the $Ad{S}_3\times S^3\times T^4$ superstring
• The most general $\lambda$-deformation of CFTs and integrability
• Marginal and non-commutative deformations via non-abelian T-duality
• Classical and Quantum Aspects of Yang-Baxter Wess-Zumino Models
• Novel all loop actions of interacting CFTs: Construction, integrability and RG flows
• A new class of integrable deformations of CFTs
• Analytic integrability for strings on $\eta$ and $\lambda$ deformed backgrounds
• Generalized $\lambda$-deformations of AdS_p x S^p
• Integrable asymmetric $\lambda$-deformations
• An exact symmetry in $\lambda$-deformed CFTs
• Integrable Lambda Models And Chern-Simons Theories
• Quantum Inverse Scattering and the Lambda Deformed Principal Chiral Model
• Quantum Anisotropic Sigma and Lambda Models as Spin Chains
• D-branes in $\lambda$-deformations
• Lambda Models From Chern-Simons Theories
• AdS solutions and $\lambda$-deformations
• Exploring The Lambda Model Of The Hybrid Superstring
• Analytical Structure of the Generalized $\lambda -$deformation
• Exact results from the geometry of couplings and the effective action
• Scalar fields on λ-deformed cosets
• Giant Magnons of String Theory in the Lambda Background
• Stringy correlations on deformed $Ad{S}_3\times S^3$
• Yang-Baxter deformations of $W_{2,4}\times T^{1,1}$ and the associated T-dual models
• Supersymmetric backgrounds from $\lambda$-deformations
• $\lambda$-Deformation Of The $Ad{S}_5\times S^5$ Pure Spinor Superstring
• Quantizations of D=3 Lorentz symmetry
• Novel integrable interpolations
• On some integrable deformations of the Wess-Zumino-Witten model
• Integrable $\lambda$-deformations of the Euclidean black string
• Supersymmetric solutions of type-II supergravity from $\lambda$-deformations and zoom-in limits
• Classical Spectral Curve of the AdS_5 x S^5 Lambda Superstring
• Integrability of the $\lambda$-deformation of the PCM with spectators
• Asymmetric $\lambda$-deformed cosets
• Type-II backgrounds from deformed coset CFTs
• On the stability of $AdS$ backgrounds with $\lambda$-deformed factors
• Separation of variables in the WZW models
• Spinning strings: $\lambda$-deformation and non-Abelian T-dual limit
• Double Field Theory for Generalized $\lambda$-deformation