Lunin-Maldacena Deformations With Three Parameters

Abstract

We examine the solution generating symmetries by which Lunin and Maldacena have generated the gravity duals of beta-deformations of certain field theories. We identify the O(2,2,R) matrix, which acts on the background matrix E=g+B, where g and B are the metric and the B-field of the undeformed background, respectively. This simplifies the calculations and makes some features of the deformed backgrounds more transparent. We also find a new three-parameter deformation of the Sasaki-Einstein manifolds T^{1,1} and Y^{p,q}. Following the recent literature on the three-parameter deformation of AdS_5 \times S^5, one would expect that our new solutions should correspond to non-supersymmetric marginal deformations of the relevant dual field theories.

19 pages, JHEP3, References added

References in corpus (35)

• Large N Field Theories, String Theory and Gravity
• String Theory Dynamics In Various Dimensions
• Unity of Superstring Dualities
• Superconformal Field Theory on Threebranes at a Calabi-Yau Singularity
• Target Space Duality in String Theory
• 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
• Duality in the Type--II Superstring Effective Action
• Lax Pair for Strings in Lunin-Maldacena Background
• An Infinite Family of Superconformal Quiver Gauge Theories with Sasaki-Einstein Duals
• Toric Geometry, Sasaki-Einstein Manifolds and a New Infinite Class of AdS/CFT Duals
• Dualisation of Dualities, II: Twisted self-duality of doubled fields and superdualities
• 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
• Generalized Duality in Curved String-Backgrounds
• Deformations of N=4 SYM and integrable spin chain models
• AdS_5 x S^5 Untwisted
• Gauge-string duality for (non)supersymmetric deformations of N=4 Super Yang-Mills theory
• T-Duality in the Green-Schwarz Formalism, and the Massless/Massive IIA Duality Map
• Sasaki-Einstein Metrics on S^2 x S^3
• Exact results in planar N=1 superconformal Yang-Mills theory
• Dipole Deformations of N=1 SYM and Supergravity backgrounds with U(1) X U(1) global symmetry
• Holonomy and Symmetry in M-theory
• Supersymmetry without Supersymmetry
• Comments on T-dualities of Ramond-Ramond Potentials
• Two-point correlators in the beta-deformed N=4 SYM at the next-to-leading order
• Marginal Deformations of Field Theories with AdS_4 Duals
• Comments on the beta-deformed N=4 SYM Theory
• Marginal Deformations with U(1)^3 Global Symmetry
• A New Infinite Class of Sasaki-Einstein Manifolds
• Marginal deformation of N=4 SYM and Penrose limits with continuum spectrum
• Deformed PP-waves from the Lunin-Maldacena Background
• Precision Test of AdS/CFT in Lunin-Maldacena Background
• String spectrum of curved string backgrounds obtained by T-duality and shifts of polar angles

Cited by in corpus (38)

• Yang-Baxter sigma models based on the CYBE
• On deformed gauge theories and their string/M-theory duals
• TsT, $T\bar{T}$ and black strings
• Chaotic strings in a near Penrose limit of AdS${}_5\times T^{1,1}$
• Integrable deformations of the AdS${}_5\times$S${}^5$ superstring and the classical Yang-Baxter equation -- Towards the gravity/CYBE correspondence --
• On the perturbative chiral ring for marginally deformed N=4 SYM theories
• Tri-vector deformations in $d=11$ supergravity
• Non-abelian tri-vector deformations in d=11 supergravity
• Proof of ultra-violet finiteness for a planar non-supersymmetric Yang-Mills theory
• Chaos in classical string dynamics in $\hat{\gamma }$ deformed $Ad{S}_5\times T^{1,1}$
• Yang-Baxter Deformation as an O(d,d) Transformation
• Quantum Symmetries and Marginal Deformations
• Supercoset construction of Yang-Baxter deformed AdS${}_5\times$S${}^5$ backgrounds
• Non-Abelian T-duality as a Transformation in Double Field Theory
• Probing Universality in the Gravity Duals of N=1 SYM by gamma-deformations
• Semi-classical Strings in Sasaki-Einstein Manifolds
• Towards the gravity/CYBE correspondence beyond integrability -- Yang-Baxter deformations of $T^{1,1}$
• Yang-Baxter sigma models and Lax pairs arising from $\kappa$-Poincaré $r$-matrices
• Yang-Baxter deformations of Minkowski spacetime
• Strings on the deformed T^{1,1}: giant magnon and single spike solutions
• Yang-Baxter deformations of $W_{2,4}\times T^{1,1}$ and the associated T-dual models
• Beta, Dipole and Noncommutative Deformations of M-theory Backgrounds with One or More Parameters
• U-duality in three and four dimensions
• Semiclassical strings in marginally deformed toric AdS/CFT
• Lax pairs for deformed Minkowski spacetimes
• On beta-deformations and Noncommutativity
• Deformations of $T^{1,1}$ as Yang-Baxter sigma models
• Integrable Hopf twists, marginal deformations and generalised geometry
• Lax pairs on Yang-Baxter deformed backgrounds
• Yang-Baxter Deformations of the $Ad{S}_5\times T^{1,1}$ Superstring and their Backgrounds
• Chaotic string dynamics in Bosonic $\eta$-deformed $Ad{S}_5\times T^{1,1}$ background
• $T^3$ deformations and $\beta$-deformed geometries
• Non-isometric U-dualities
• On finite size corrections to the dispersion relations of giant magnon and single spike on γ-deformed T^{1,1}
• Pin(d,d) covariance of pure spinor equations for supersymmetric vacua and Non-Abelian T-duality
• Marginal Deformations of N=4 SYM and Open vs. Closed String Parameters
• Yang-Baxter deformations and string dualities
• From ${\mathrm{AdS}}_5$ to ${\mathrm{AdS}}_3$: TsT deformations, Magnetic fields and Holographic RG Flows