An integrable deformation of the AdS_5 x S^5 superstring action

Abstract

An integrable deformation of the type IIB AdS_5 x S^5 superstring action is presented. The deformed field equations, Lax connection, and kappa-symmetry transformations are given. The original psu(2,2|4) symmetry is expected to become q-deformed.

5 pages

References in corpus (7)

• Pohlmeyer reduction of AdS_5 x S^5 superstring sigma model
• Quantum Deformations of the One-Dimensional Hubbard Model
• The Quantum Deformed Mirror TBA I
• Sine-Gordon-like action for the Superstring in AdS(5) x S(5)
• The classical R-matrix of AdS/CFT and its Lie dialgebra structure
• The Classical Exchange Algebra of AdS5 x S5 String Theory
• Bound States of the q-Deformed AdS5 x S5 Superstring S-matrix

Cited by in corpus (279)

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• Scale invariance of the eta-deformed AdS5 x S5 superstring, T-duality and modified type II equations
• Jordanian deformations of the AdS_5xS^5 superstring
• On integrable deformations of superstring sigma models related to AdS_n x S^n supercosets
• On deformations of AdS_n x S^n supercosets
• Target space supergeometry of $\eta$ and $\lambda$-deformed strings
• An Integrable Deformation of the AdS5 x S5 Superstring
• Yang-Baxter deformations, AdS/CFT, and twist-noncommutative gauge theory
• Generalised integrable $\lambda$- and $\eta$-deformations and their relation
• $\eta$ and $\lambda$ deformations as $\mathcal{E}$-models
• Deformed integrable $\sigma$-models, classical $R$-matrices and classical exchange algebra on Drinfel'd doubles
• Abelian Yang-Baxter Deformations and TsT transformations
• Integrable Deformations of Strings on Symmetric Spaces
• The complete worldsheet S matrix of superstrings on AdS_3 x S^3 x T^4 with mixed three-form flux
• Lunin-Maldacena backgrounds from the classical Yang-Baxter equation -- Towards the gravity/CYBE correspondence
• Yang-Baxter sigma models based on the CYBE
• Spacetimes for λ-deformations
• Integrable deformations of T-dual $\sigma$ models
• Towards a two-parameter q-deformation of AdS_3 x S^3 x M^4 superstrings
• 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
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• Yang-Baxter $\sigma$-models, conformal twists, and noncommutative Yang-Mills theory
• Supergravity backgrounds for deformations of AdS_n x S^n supercoset string models
• Doubled aspects of generalised dualities and integrable deformations
• A Jordanian deformation of AdS space in type IIB supergravity
• The ${\mathrm{AdS}}_5\times {\mathrm{S}}^5$ mirror model as a string
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• Integrable Deformations of Sigma Models
• Non-abelian T-duality and Yang-Baxter deformations of Green-Schwarz strings
• Integrable spin chain for stringy Wess-Zumino-Witten models
• Holographic integration of $T\bar{T}$ and $J\bar{T}$ via $O(d,d)$
• Integrability of the AdS_5 x S^5 superstring and its deformations
• Supergravity background of the lambda-deformed AdS_3 x S^3 supercoset
• Schrödinger geometries arising from Yang-Baxter deformations
• Generalized gravity from modified DFT
• Poisson-Lie T-duals of the bi-Yang-Baxter models
• Double Wick rotating Green-Schwarz strings
• On non-abelian T-duality and deformations of supercoset string sigma-models
• Homogeneous Yang-Baxter deformations as generalized diffeomorphisms
• Generalised fluxes, Yang-Baxter deformations and the O(d,d) structure of non-abelian T-duality
• Integrability and non-Integrability in N=2 SCFTs and their Holographic Backgrounds
• $T$-folds from Yang-Baxter deformations
• U-duality extension of Drinfel'd double
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• A new coordinate system for q-deformed AdS_5 x S^5 and classical string solutions
• Conformal Twists, Yang-Baxter $\sigma$-models & Holographic Noncommutativity
• Integrable flows between exact CFTs
• Generalized IIB supergravity from exceptional field theory
• Quantum deformations of the flat space superstring
• A deformation of quantum affine algebra in squashed WZNW models
• Yang-Baxter Deformations Beyond Coset Spaces (a slick way to do TsT)
• $T\bar{T}$ deformations as TsT transformations
• Classical Yang-Baxter Equation from Supergravity
• Deformed Neumann model from spinning strings on (AdS_5 x S^5)_η
• Killing(-Yano) Tensors in String Theory
• Integrability in dipole-deformed N=4 super Yang-Mills
• Yang-Baxter $\sigma$-model with WZNW term as $\mathcal{E}$-model
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• Puzzles of eta-deformed AdS_5 x S^5
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• Integrable deformations of the AdS${}_5\times$S${}^5$ superstring and the classical Yang-Baxter equation -- Towards the gravity/CYBE correspondence --
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• On classical Yang-Baxter based deformations of the AdS_5 x S^5 superstring
• Finite-size giant magnons on η-deformed AdS_5 x S^5
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• Combining the bi-Yang-Baxter deformation, the Wess-Zumino term and TsT transformations in one integrable sigma-model
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• On the Classical Integrability of Root-$T\overline{T}$ Flows
• $\lambda$-deformations of left-right asymmetric CFTs
• On the Rotating and Oscillating strings in $(Ad{S}_3\times S^3{)}_{\varkappa }$
• Trivial solutions of generalized supergravity vs non-abelian T-duality anomaly
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• Comments on 2D dilaton gravity system with a hyperbolic dilaton potential
• 4-dimensional Chern-Simons theory and integrable field theories
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• Weyl invariance of string theories in generalized supergravity backgrounds
• All-loop correlators of integrable $\lambda$-deformed $\sigma$-models
• All-loop anomalous dimensions in integrable $\lambda$-deformed $\sigma$-models
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• General phase spaces: from discrete variables to rotor and continuum limits
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• Generalized Dualities and Higher Derivatives
• Non-split and split deformations of AdS_5
• Deformations of the Almheiri-Polchinski model
• Type IIB supergravity solution for the T-dual of the eta-deformed AdS_5 x S^5 superstring
• Amplitudes on plane waves from ambitwistor strings
• Marginal deformations of WZW models and the classical Yang-Baxter equation
• Two-parameter integrable deformations of the $Ad{S}_3\times S^3\times T^4$ superstring
• Tri-vector deformations in $d=11$ supergravity
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• Non-abelian tri-vector deformations in d=11 supergravity
• Comments on $\eta$-deformed principal chiral model from 4D Chern-Simons theory
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• Resurgence of the dressing phase for ${\mathrm{AdS}}_5\times {\mathrm{S}}^5$
• Generalized $\lambda$-deformations of AdS_p x S^p
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• Integrable open spin-chains in AdS3/CFT2 correspondences
• Spinning strings in the $\eta$-deformed Neumann-Rosochatius system
• Pulsating strings on $(Ad{S}_3\times S^3{)}_{\varkappa }$
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• Integrable asymmetric $\lambda$-deformations
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• Integrability of the eta-deformed Neumann-Rosochatius model
• RG flows for $\lambda$-deformed CFTs
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• Lie Algebra Expansion and Integrability in Superstring Sigma-Models
• Integrable Lambda Models And Chern-Simons Theories
• Topological Gauging and Double Current Deformations
• Semiclassical spectrum for BMN string in $Sc{h}_5\times S^5$
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• Weyl transformation and regular solutions in a deformed Jackiw-Teitelboim model
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• Integrable strings for AdS/CFT
• Generalized Supergravity Equations and Generalized Fradkin-Tseytlin Counterterm
• Integrable bootstrap for AdS3/CFT2 correlation functions
• $O(d,d)$ transformations preserve classical integrability
• Resurgence in the Bi-Yang-Baxter Model
• Yang Baxter and Anisotropic Sigma and Lambda Models, Cyclic RG and Exact S-Matrices
• Quantum Anisotropic Sigma and Lambda Models as Spin Chains
• Super Non-Abelian T-Duality
• Semiclassical spectrum of a Jordanian deformation of $Ad{S}_5\times S^5$
• Towards the gravity/CYBE correspondence beyond integrability -- Yang-Baxter deformations of $T^{1,1}$
• Minimal surfaces in $q$-deformed AdS${}_5\times$S${}^5$ with Poincare coordinates
• Two-loop conformal invariance for Yang-Baxter deformed strings
• Relaxing unimodularity for Yang-Baxter deformed strings
• Integrable deformations of AdS/CFT
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• Universal 1-loop divergences for integrable sigma models
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• Exact results from the geometry of couplings and the effective action
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• On quantum deformations of $Ad{S}_3\times S^3\times T^4$ and mirror duality
• Probing analytical and numerical integrability: The curious case of $(Ad{S}_5\times S^5{)}_{\eta }$
• Analytical Structure of the Generalized $\lambda -$deformation
• D-brane on Deformed AdS_3 times S^3
• Finite-size effect of η-deformed AdS_5 x S^5 at strong coupling
• Generalised T-duality and Integrable Deformations
• More on Doubled Aspects of Algebroids in Double Field Theory
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• Deformed $\sigma$-models, Ricci flow and Toda field theories
• Stringy correlations on deformed $Ad{S}_3\times S^3$
• All Jordanian deformations of the $Ad{S}_5\times S^5$ superstring
• Killing spinors from classical r-matrices
• Yang-Baxter deformations of the $Ad{S}_4\times {\mathbb{CP}}^3$ superstring sigma model
• Isometry Group Orbit Quantization of Spinning Strings in AdS_3 x S^3
• Holographic Cusped Wilson loops in $q$-deformed $Ad{S}_5\times S^5$ Spacetime
• Integrable deformed $T^{1,1}$ sigma models from 4D Chern-Simons theory
• Yang-Baxter deformations of WZW model on the Heisenberg Lie group
• Deformed WZW Models and Hodge Theory -- Part I
• Fast spinning strings on $\eta$ deformed $Ad{S}_5\times S^5$
• Integrable deformation of ${\mathbb{CP}}^n$ and generalised Kaehler geometry
• Analytic Non-Integrability and S-Matrix Factorization
• $q$-Poincaré invariance of the $Ad{S}_3/CF{T}_2$ $R$-matrix
• $\lambda$-Deformation Of The $Ad{S}_5\times S^5$ Pure Spinor Superstring
• Symmetric space $\lambda$-model exchange algebra from 4d holomorphic Chern-Simons theory
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• SYK/AdS duality with Yang-Baxter deformations
• Giant magnon-like solution in Sch_5 x S^5
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• Tri-vector deformations on compact isometries
• Metric algebroid and Dirac generating operator in Double Field Theory
• 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 $(C^3+A)$
• Field theory and $\lambda$-deformations: Expanding around the identity
• Bubbling geometries for AdS_2 x S^2
• A hierarchy of WZW models related to super Poisson-Lie T-duality
• Novel integrable interpolations
• Three-parameter deformation of $\mathbb{R}\times S^3$ in the Landau-Lifshitz limit
• On some integrable deformations of the Wess-Zumino-Witten model
• SUSY and the bi-vector
• Lax pairs for new ${\mathbb{Z}}_N$-symmetric coset $\sigma$-models and their Yang-Baxter deformations
• Supersymmetric solutions of type-II supergravity from $\lambda$-deformations and zoom-in limits
• Marginal deformations and quasi-Hopf algebras
• The Courant-Hilbert construction in 4D Chern-Simons theory
• Integrable Hopf twists, marginal deformations and generalised geometry
• Generalized quark-antiquark potentials from a $q$-deformed AdS${}_5\times$S${}^5$ background
• Probing $\eta$ deformed backgrounds with $Dp$ branes
• Webs of integrable theories
• Hamiltonian integrability of the webs of integrable theories
• Some three-point correlation functions in the eta-deformed AdS_5 x S^5
• Yang-Baxter deformations of the $GL(2,\mathbb{R})$ WZW model and non-Abelian T-duality
• Superconformal blocks in diverse dimensions and $BC$ symmetric functions
• Quantization of the ${\mathrm{AdS}}_3$ Superparticle on $\mathrm{OSP}(1|2{)}^2/\mathrm{SL}(2,\mathbb{R})$
• On pp wave limit for $\eta$ deformed superstrings
• Integrability structures in string theory
• Yang-Baxter Deformations of the $Ad{S}_5\times T^{1,1}$ Superstring and their Backgrounds
• String Backgrounds of the Yang-Baxter Deformed $Ad{S}_4\times {\mathbb{CP}}^3$ Superstring
• On the Semi-Classical Limit of Scalar Products of the XXZ Spin Chain
• Integrability and non-integrability for holographic dual of Matrix model and non-Abelian T-dual of AdS${}_5\times$S${}^5$
• Bethe Ansatz for Quantum-Deformed Strings
• Lax pairs on Yang-Baxter deformed backgrounds
• Classical Lie Bialgebras for AdS/CFT Integrability by Contraction and Reduction
• Classical Spectral Curve of the AdS_5 x S^5 Lambda Superstring
• Quantum deformation of cubic string field theory
• Chaotic string dynamics in Bosonic $\eta$-deformed $Ad{S}_5\times T^{1,1}$ background
• NLIE for the Sausage model
• Tri-vector deformations with external fluxes
• Classical solutions of $\lambda$-deformed coset models
• An invitation to Poisson-Lie T-duality in Double Field Theory and its applications
• Generalized Supergravity Equations for the WZW Model
• An Algebraic Classification of Solution Generating Techniques
• Spectral curve for gamma-deformed AdS/CFT
• Deformations, renormgroup, symmetries, AdS/CFT
• Spinning pulsating strings in $(Ad{S}_5\times S^5{)}_{\varkappa }$
• On the stability of $AdS$ backgrounds with $\lambda$-deformed factors
• Type-II backgrounds from deformed coset CFTs
• Asymmetric $\lambda$-deformed cosets
• Yang-Baxter deformations of the flat space string
• Asymptotics in the bi-Yang-Baxter Sigma Model
• Supergravity solution-generating techniques and canonical transformations of $\sigma$-models from $O(D,D)$
• Nonlocal charges from marginal deformations of 2D CFTs: Holographic $T\bar{T}$, $T\bar{J}$ and Yang-Baxter deformations
• On exactly solvable Yang-Baxter models and enhanced symmetries
• Scale without conformal invariance from integrable deformations of coset CFTs
• Yang-Baxter deformations of the OSP(1|2) WZW model
• Jordanian spin chains for twisted strings in $Ad{S}_5\times S^5$
• Contact 4d Chern-Simons theory: Generalities
• More on (gauged) WZW models over low-dimensional Lie supergroups and their integrable deformations
• Yang-Baxter structure of the extended space
• Finite Size Effect from Classical Strings in deformed AdS${}_3\times$ S${}^3$
• An integrable deformed Landau-Lifshitz model with particle production?
• Integrable deformed H${}_{{}_4}$ WZW models and their non-Abelian duals as solutions of generalized supergravity equations
• On the classical Integrability of Poisson-Lie T-dual WZW models
• Nonperturbative features in the Lie-algebraic Kähler sigma model with fermions
• Novel aspects of integrability for NLSMs in symmetric spaces
• P-Branes Dynamics, AdS/CFT and Correlation Functions
• Pulsating string solution and stability in two parameter $\chi$-deformed background
• Semiclassical structure constants in the eta-deformed AdS_5 x S^5: Leading finite-size corrections
• Kerr-Schild perturbations of coset CFTs as scale invariant integrable $\sigma$-models
• Integrable sigma models with Haantjes structure on $H_4$ Lie group
• Uniform Gauge for D1-brane in General Background
• Yang-Baxter deformations and string dualities
• Ambitwistor strings and amplitudes in curved backgrounds