A Jordanian deformation of AdS space in type IIB supergravity

Abstract

We consider a Jordanian deformation of the AdS_5xS^5 superstring action by taking a simple R-operator which satisfies the classical Yang-Baxter equation. The metric and NS-NS two-form are explicitly derived with a coordinate system. Only the AdS part is deformed and the resulting geometry contains the 3D Schrodinger spacetime as a subspace. Then we present the full solution in type IIB supergravity by determining the other field components. In particular, the dilaton is constant and a R-R three-form field strength is turned on. The symmetry of the solution is [SL(2,R)xU(1)^2] x [SU(3)xU(1)] and contains an anisotropic scale symmetry.

29 pages, no figure, LaTeX, typos corrected, references added, further clarification added

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Cited by in corpus (29)

• Derivation of the action and symmetries of the q-deformed AdS_5 x S^5 superstring
• On deformations of AdS_n x S^n supercosets
• Integrable Deformations of Strings on Symmetric Spaces
• Lunin-Maldacena backgrounds from the classical Yang-Baxter equation -- Towards the gravity/CYBE correspondence
• Yang-Baxter sigma models based on the CYBE
• Integrability of classical strings dual for noncommutative gauge theories
• On the exact spectrum and mirror duality of the (AdS_5 x S^5)_eta superstring
• Schrödinger geometries arising from Yang-Baxter deformations
• Homogeneous Yang-Baxter deformations as generalized diffeomorphisms
• $T$-folds from Yang-Baxter deformations
• A new coordinate system for q-deformed AdS_5 x S^5 and classical string solutions
• Generalized type IIB supergravity equations and non-Abelian classical r-matrices
• On classical Yang-Baxter based deformations of the AdS_5 x S^5 superstring
• $I$ in generalized supergravity
• Finite-size giant magnons on η-deformed AdS_5 x S^5
• Marginal and non-commutative deformations via non-abelian T-duality
• Unimodular jordanian deformations of integrable superstrings
• Anisotropic Landau-Lifshitz sigma models from q-deformed AdS_5 x S^5 superstrings
• Integrable supersymmetric deformations of $\mathrm{Ad}{\mathrm{S}}_3\times {\mathrm{S}}^3\times {\mathrm{T}}^4$
• Minimal surfaces in $q$-deformed AdS${}_5\times$S${}^5$ with Poincare coordinates
• Yang-Baxter deformations of Minkowski spacetime
• Deformations of $T^{1,1}$ as Yang-Baxter sigma models
• Yang-Baxter deformation of WZW model based on Lie supergroups: The cases of $GL(1|1)$ and $(C^3+A)$
• Lax pairs for new ${\mathbb{Z}}_N$-symmetric coset $\sigma$-models and their Yang-Baxter deformations
• Basic quantizations of $D=4$ Euclidean, Lorentz, Kleinian and quaternionic ${\mathfrak{o}}^{\star }(4)$ symmetries
• More on (gauged) WZW models over low-dimensional Lie supergroups and their integrable deformations
• Jordanian spin chains for twisted strings in $Ad{S}_5\times S^5$
• Yang-Baxter deformations and string dualities
• Integrable sigma models with Haantjes structure on $H_4$ Lie group