Supergravity background of lambda-deformed model for AdS2 x S2 supercoset

Abstract

Starting with the F/G supercoset model corresponding to the AdS_n x S^n superstring one can define the lambda-model of arXiv:1409.1538 either as a deformation of the F/F gauged WZW model or as an integrable one-parameter generalization of the non-abelian T-dual of the AdS_n x S^n superstring sigma model with respect to the whole supergroup F. Here we consider the case of n=2 and find the explicit form of the 4d target space background for the lambda-model for the PSU(1,1|2)/[SO(1,1) x SO(2)] supercoset. We show that this background represents a solution of type IIB 10d supergravity compactified on a 6-torus with only metric, dilaton Phi and the RR 5-form (represented by a 2-form F in 4d) being non-trivial. This implies that the lambda-model is Weyl invariant at the quantum level and thus defines a consistent superstring sigma model. The supergravity solution we find is different from the one in arXiv:1410.1886 which should correspond to a version of the lambda-model where only the bosonic subgroup of F is gauged. Still, the two solutions have equivalent scaling limit of arXiv:1504.07213 leading to the isometric background for the metric and e^Phi F which is related to the eta-deformed AdS_2 x S^2 sigma model of arXiv:1309.5850. Similar results are expected in the AdS_3 x S^3 and AdS_5 x S^5 cases.

31 pages; v2: minor misprints corrected

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Cited by in corpus (61)

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• Homogeneous Yang-Baxter deformations as non-abelian duals of the AdS_5 sigma-model
• Supergravity background of the lambda-deformed AdS_3 x S^3 supercoset
• Poisson-Lie T-duals of the bi-Yang-Baxter models
• Integrability and non-Integrability in N=2 SCFTs and their Holographic Backgrounds
• Integrable flows between exact CFTs
• Generalized IIB supergravity from exceptional field theory
• Generalized type IIB supergravity equations and non-Abelian classical r-matrices
• $\lambda$-deformations of left-right asymmetric CFTs
• Resurgence in $\eta$-deformed Principal Chiral Models
• All-loop correlators of integrable $\lambda$-deformed $\sigma$-models
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• The most general $\lambda$-deformation of CFTs and integrability
• Marginal and non-commutative deformations via non-abelian T-duality
• Novel all loop actions of interacting CFTs: Construction, integrability and RG flows
• Classical and Quantum Aspects of Yang-Baxter Wess-Zumino Models
• Dressing cosets and multi-parametric integrable deformations
• 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
• Poisson-Lie duals of the eta deformed symmetric space sigma model
• Free Fermions, vertex Hamiltonians, and lower-dimensional AdS/CFT
• 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
• Integrable strings for AdS/CFT
• Quantum Anisotropic Sigma and Lambda Models as Spin Chains
• Super Non-Abelian T-Duality
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• Massless $Ad{S}_2$ scattering and Bethe ansatz
• Lambda Models From Chern-Simons Theories
• Exploring The Lambda Model Of The Hybrid Superstring
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• Generalized Dualities and Supergroups
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• Exact results from the geometry of couplings and the effective action
• Scalar fields on λ-deformed cosets
• Analytical Structure of the Generalized $\lambda -$deformation
• Yang-Baxter deformations of $W_{2,4}\times T^{1,1}$ and the associated T-dual models
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• On strong integrability of the dressing cosets
• Giant Magnons of String Theory in the Lambda Background
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• Supersymmetric backgrounds from $\lambda$-deformations
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• Supersymmetric solutions of type-II supergravity from $\lambda$-deformations and zoom-in limits
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• Integrability of the $\lambda$-deformation of the PCM with spectators
• Geometry of Massless Scattering in Integrable Superstring
• Classical Spectral Curve of the AdS_5 x S^5 Lambda Superstring
• Asymmetric $\lambda$-deformed cosets
• Type-II backgrounds from deformed coset CFTs
• On the stability of $AdS$ backgrounds with $\lambda$-deformed factors
• Spinning strings: $\lambda$-deformation and non-Abelian T-dual limit
• Separation of variables in the WZW models
• The many facets of exceptional field theory
• A study of integrable form factors in massless relativistic $Ad{S}_2$