Marginal and non-commutative deformations via non-abelian T-duality

Abstract

In this short article we develop recent proposals to relate Yang-Baxter sigma-models and non-abelian T-duality. We demonstrate explicitly that the holographic space-times associated to both (multi-parameter)-$\beta$-deformations and non-commutative deformations of $\mathcal{N}=4$ super Yang-Mills gauge theory including the RR fluxes can be obtained via the machinery of non-abelian T-duality in Type II supergravity.

arXiv comment25 pages, v2: references added and a small comment to section 5.2

References in corpus (54)

• 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
• 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
• Fermionic T-Duality, Dual Superconformal Symmetry, and the Amplitude/Wilson Loop Connection
• On classical q-deformations of integrable sigma-models
• Integrable interpolations: From exact CFTs to non-Abelian T-duals
• Non-Commutative Yang-Mills and the AdS/CFT Correspondence
• Superstring Theory on AdS_2 x S^2 as a Coset Supermanifold
• 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
• On non-abelian T-dual geometries with Ramond fluxes
• Jordanian deformations of the AdS_5xS^5 superstring
• T-Duality, Space-time Spinors and R-R Fields in Curved Backgrounds
• 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 Non-Abelian Duality
• On integrable deformations of superstring sigma models related to AdS_n x S^n supercosets
• Target space supergeometry of $\eta$ and $\lambda$-deformed strings
• Deformations of N=4 SYM and integrable spin chain models
• Integrability of the bi-Yang-Baxter sigma-model
• 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
• Dipoles, Twists and Noncommutative Gauge Theory
• Abelian Yang-Baxter Deformations and TsT transformations
• Integrable Deformations of Strings on Symmetric Spaces
• Lunin-Maldacena backgrounds from the classical Yang-Baxter equation -- Towards the gravity/CYBE correspondence
• Non-abelian T-duality, Ramond Fields and Coset Geometries
• Yang-Baxter sigma models based on the CYBE
• Spacetimes for λ-deformations
• Green-Schwarz Strings in TsT-transformed backgrounds
• Gauge-string duality for (non)supersymmetric deformations of N=4 Super Yang-Mills theory
• Non-Abelian T-duality and the AdS/CFT correspondence:new N=1 backgrounds
• Integrable deformations of T-dual $\sigma$ models
• Integrability of classical strings dual for noncommutative gauge theories
• Supersymmetry and non-Abelian T-duality in type II supergravity
• A Jordanian deformation of AdS space in type IIB supergravity
• Supergravity background of lambda-deformed model for AdS2 x S2 supercoset
• Almost abelian twists and AdS/CFT
• Remarks on Non-Abelian Duality
• On spin chains and field theories
• Supergravity background of the lambda-deformed AdS_3 x S^3 supercoset
• Schrödinger geometries arising from Yang-Baxter deformations
• Poisson-Lie T-duals of the bi-Yang-Baxter models
• Puzzles of eta-deformed AdS_5 x S^5
• T-duality in Ramond-Ramond backgrounds
• String Theory in Beta Deformed Spacetimes
• Canonical pure spinor (Fermionic) T-duality

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• Yang-Baxter $\sigma$-models, conformal twists, and noncommutative Yang-Mills theory
• Non-geometric backgrounds in string theory
• Non-abelian T-duality and Yang-Baxter deformations of 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
• $T$-folds from Yang-Baxter deformations
• Conformal Twists, Yang-Baxter $\sigma$-models & Holographic Noncommutativity
• Yang-Baxter Deformations Beyond Coset Spaces (a slick way to do TsT)
• Integrability in dipole-deformed N=4 super Yang-Mills
• Type II DFT solutions from Poisson-Lie T-duality/plurality
• Local $\beta$-deformations and Yang-Baxter sigma model
• $I$ in generalized supergravity
• BMN Vacua, Superstars and Non-Abelian T-duality
• On non-Abelian T-duality for non-semisimple groups
• Yang-Baxter Deformation as an O(d,d) Transformation
• Non-abelian U-duality at work
• Semiclassical spectrum for BMN string in $Sc{h}_5\times S^5$
• Embedding the modified CYBE in Supergravity
• On non-abelian U-duality of 11D backgrounds
• Quantum Anisotropic Sigma and Lambda Models as Spin Chains
• Yang-Baxter Deformations of the $Ad{S}_5\times S^5$ Pure Spinor Superstring
• Killing spinors from classical r-matrices
• SUSY and the bi-vector
• Manifestly T-dual formulation of AdS space