The Anatomy of Gauge/String Duality in Lunin-Maldacena Background

Abstract

We consider the correspondence between the spinning string solutions in Lunin-Maldacena background and the single trace operators in the Leigh-Strassler deformation of N=4 SYM. By imposing an appropriate rotating string ansätz on the Landau-Lifshitz reduced sigma model in the deformed SU(2) sector, we find two types of `elliptic' solutions with two spins, which turn out to be the solutions associated with the Neumann-Rosochatius system. We then calculate the string energies as functions of spins, and obtain their explicit forms in terms of a set of moduli parameters. On the deformed spin-chain side, we explicitly compute the one-loop anomalous dimensions of the gauge theory operators dual to each of the two types of spinning string solutions, extending and complementing the results of hep-th/0511164. Moreover, we propose explicit ansätze on how the locations of the Bethe strings are affected due to the deformation, with several supports from the string side.

arXiv comment1+31 pages, 3 figures, references added, typos corrected, discussion on constraints and free parameters in spin-chain analysis added and corrected

References in corpus (47)

• Gauge Theory Correlators from Non-Critical String Theory
• Strings in flat space and pp waves from $\mathcal{N}=4$ Super Yang Mills
• The Bethe-Ansatz for N=4 Super Yang-Mills
• Hidden Symmetries of the AdS_5 x S^5 Superstring
• A semi-classical limit of the gauge/string correspondence
• The N=4 SYM Integrable Super Spin Chain
• 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
• Semiclassical quantization of rotating superstring in AdS_5 x S^5
• The Complete One-Loop Dilatation Operator of N=4 Super Yang-Mills Theory
• Classical/quantum integrability in AdS/CFT
• Multi-spin string solutions in AdS_5 x S^5
• The Dilatation Operator of N=4 Super Yang-Mills Theory and Integrability
• Lax Pair for Strings in Lunin-Maldacena Background
• Spin chains and string theory
• Stringing Spins and Spinning Strings
• Spinning strings in AdS_5 x S^5 and integrable systems
• Spinning strings in AdS_5 x S^5: new integrable system relations
• Rotating string solutions: AdS/CFT duality in non-supersymmetric sectors
• Planar N=4 gauge theory and the Inozemtsev long range spin chain
• Large spin limit of AdS_5 x S^5 string theory and low energy expansion of ferromagnetic spin chains
• Matching Higher Conserved Charges for Strings and Spins
• Precision Spectroscopy of AdS/CFT
• 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
• Deformations of N=4 SYM and integrable spin chain models
• Classical/quantum integrability in non-compact sector of AdS/CFT
• On Integrability of Classical SuperStrings in AdS_5 x S^5
• Gauge-string duality for (non)supersymmetric deformations of N=4 Super Yang-Mills theory
• The Algebraic Curve of 1-loop Planar N=4 SYM
• 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
• S-duality of the Leigh-Strassler Deformation via Matrix Models
• On spin chains and field theories
• 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
• A note on spin chain/string duality
• The general Leigh-Strassler deformation and integrability
• New results in the deformed N=4 SYM theory
• S-Duality, Deconstruction and Confinement for a Marginal Deformation of N=4 SUSY Yang-Mills
• Linking Backlund and Monodromy Charges for Strings on AdS_5 x S^5
• Marginal Deformations with U(1)^3 Global Symmetry
• On the Coulomb Branch of a Marginal Deformation of N=4 SUSY Yang-Mills
• A New Deconstruction of Little String Theory
• Integrable Spin Chains with U(1)^3 symmetry and generalized Lunin-Maldacena backgrounds
• Open Spinning Strings and AdS/dCFT Duality
• An N=1 duality cascade from a deformation of N=4 SUSY Yang-Mills

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