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.

arXiv comment29 pages, no figure, LaTeX, typos corrected, references added, further clarification added

References in corpus (60)

• Gauge Theory Correlators from Non-Critical String Theory
• 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
• Toward an AdS/cold atoms correspondence: a geometric realization of the Schroedinger symmetry
• Deforming field theories with $U(1)\times U(1)$ global symmetry and their gravity duals
• The String Dual of a Confining Four-Dimensional Gauge Theory
• On integrability of the Yang-Baxter $\si$-model
• Foundations of the AdS_5 x S^5 Superstring. Part I
• Large N Limit of Non-Commutative Gauge Theories
• An integrable deformation of the AdS_5 x S^5 superstring action
• Lax Pair for Strings in Lunin-Maldacena Background
• Yang-Baxter $\sigma$-models and dS/AdS T-duality
• Spin chains and string theory
• On classical q-deformations of integrable sigma-models
• Comments on string theory backgrounds with non-relativistic conformal symmetry
• Non-Commutative Yang-Mills and the AdS/CFT Correspondence
• Hot Spacetimes for Cold Atoms
• S-matrix for strings on $\eta$-deformed AdS5 x S5
• Jordanian deformations of the AdS_5xS^5 superstring
• Quantum Deformations of the One-Dimensional Hubbard Model
• Lunin-Maldacena backgrounds from the classical Yang-Baxter equation -- Towards the gravity/CYBE correspondence
• Strings on Semisymmetric Superspaces
• Extended jordanian twists for Lie algebras
• Integrability of classical strings dual for noncommutative gauge theories
• Superstrings on AdS_5 x S^5 supertwistor space
• Families of IIB duals for nonrelativistic CFTs
• Hybrid classical integrability in squashed sigma models
• q-Deformation of the AdS5 x S5 Superstring S-matrix and its Relativistic Limit
• Yangian symmetry in deformed WZNW models on squashed spheres
• Twisted Backgrounds, PP-Waves and Nonlocal Field Theories
• The classical origin of quantum affine algebra in squashed sigma models
• Coset Construction for Duals of Non-relativistic CFTs
• The Quantum Deformed Mirror TBA I
• Hidden Yangian symmetry in sigma model on squashed sphere
• On the classical equivalence of monodromy matrices in squashed sigma model
• AdS/CFT in the Infinite Momentum Frame
• Schrodinger Sigma Models and Jordanian Twists
• The Quantum Deformed Mirror TBA II
• Geometry of Schroedinger Space-Times, Global Coordinates, and Harmonic Trapping
• Causal structures and holography
• A Quantum Affine Algebra for the Deformed Hubbard Chain
• New rational solutions of Yang-Baxter equation and deformed Yangians
• Classical Integrability of the Squashed Three-sphere, Warped AdS3 and Schroedinger Spacetime via T-Duality
• Restoring Unitarity in the q-Deformed World-Sheet S-Matrix
• Classical integrability of Schrodinger sigma models and q-deformed Poincare symmetry
• Exotic symmetry and monodromy equivalence in Schrodinger sigma models
• Hybrid classical integrable structure of squashed sigma models -- a short summary
• On the integrability of two-dimensional models with U(1)xSU(N) symmetry
• On the geometry of classically integrable two-dimensional non-linear sigma models
• Yang-Baxter sigma models: Quantum aspects
• Bound States of the q-Deformed AdS5 x S5 Superstring S-matrix
• The type II superstring to order theta^4
• A two-dimensional integrable axionic sigma-model and T-duality
• String theories on warped AdS backgrounds and integrable deformations of spin chains
• Melvin Twists of global AdS_5 \times S_5 and their Non-Commutative Field Theory Dual
• Chains of extended Jordanian twists for Lie superalgebras
• Super-Jordanian Quantum Superalgebra ${\mathcal{U}}_h(osp(2/1))$
• New twisted quantum deformations of D=4 super-Poincare algebra
• On super-Jordanian ${\mathcal{U}}_{\mathsf{h}}(sl(N|1))$ algebra

Cited by in corpus (60)

• 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
• Yang-Baxter deformations, AdS/CFT, and twist-noncommutative gauge theory
• 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
• Yang-Baxter $\sigma$-models, conformal twists, and noncommutative Yang-Mills theory
• Schrödinger geometries arising from Yang-Baxter deformations
• Generalized gravity from modified DFT
• Homogeneous Yang-Baxter deformations as generalized diffeomorphisms
• Generalised fluxes, Yang-Baxter deformations and the O(d,d) structure of non-abelian T-duality
• $T$-folds from Yang-Baxter deformations
• A new coordinate system for q-deformed AdS_5 x S^5 and classical string solutions
• Conformal Twists, Yang-Baxter $\sigma$-models & Holographic Noncommutativity
• Yang-Baxter Deformations Beyond Coset Spaces (a slick way to do TsT)
• Deformed Neumann model from spinning strings on (AdS_5 x S^5)_η
• 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
• On the Hamiltonian integrability of the bi-Yang-Baxter sigma-model
• Deformations of the Almheiri-Polchinski model
• Unimodular jordanian deformations of integrable superstrings
• Marginal and non-commutative deformations via non-abelian T-duality
• Anisotropic Landau-Lifshitz sigma models from q-deformed AdS_5 x S^5 superstrings
• Quantum deformations of D=4 Euclidean, Lorentz, Kleinian and quaternionic o^*(4) symmetries in unified o(4;C) setting
• Remarks on simple interpolation between Jordanian twists
• Yang-Baxter invariance of the Nappi-Witten model
• Supercoset construction of Yang-Baxter deformed AdS${}_5\times$S${}^5$ backgrounds
• On q-deformed symmetries as Poisson-Lie symmetries and application to Yang-Baxter type models
• Integrable supersymmetric deformations of $\mathrm{Ad}{\mathrm{S}}_3\times {\mathrm{S}}^3\times {\mathrm{T}}^4$
• Embedding the modified CYBE in Supergravity
• Integrable strings for AdS/CFT
• Minimal surfaces in $q$-deformed AdS${}_5\times$S${}^5$ with Poincare coordinates
• Towards the gravity/CYBE correspondence beyond integrability -- Yang-Baxter deformations of $T^{1,1}$
• Yang-Baxter deformations of Minkowski spacetime
• Yang-Baxter sigma models and Lax pairs arising from $\kappa$-Poincaré $r$-matrices
• Probing analytical and numerical integrability: The curious case of $(Ad{S}_5\times S^5{)}_{\eta }$
• Yang-Baxter deformations of $W_{2,4}\times T^{1,1}$ and the associated T-dual models
• Killing spinors from classical r-matrices
• Fast spinning strings on $\eta$ deformed $Ad{S}_5\times S^5$
• Interpolations between Jordanian Twists Induced by Coboundary Twists
• Twisted conformal algebra related to $\kappa$-Minkowski space
• Lax pairs for deformed Minkowski spacetimes
• 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 $(C^3+A)$
• Three-parameter deformation of $\mathbb{R}\times S^3$ in the Landau-Lifshitz limit
• 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
• Integrable Hopf twists, marginal deformations and generalised geometry
• Generalized quark-antiquark potentials from a $q$-deformed AdS${}_5\times$S${}^5$ background
• Lax pairs on Yang-Baxter deformed backgrounds
• More on (gauged) WZW models over low-dimensional Lie supergroups and their integrable deformations
• Jordanian spin chains for twisted strings in $Ad{S}_5\times S^5$
• Nonlocal charges from marginal deformations of 2D CFTs: Holographic $T\bar{T}$, $T\bar{J}$ and Yang-Baxter deformations
• Interpolations between Jordanian twists, the Poincaré-Weyl algebra and dispersion relations
• Integrable sigma models with Haantjes structure on $H_4$ Lie group
• Yang-Baxter deformations and string dualities