Precision Test of AdS/CFT in Lunin-Maldacena Background

Abstract

We obtain the solutions and explicitly calculate the energy for a class of two-spin semiclassical string states in the Lunin-Maldacena background. These configurations are β-deformed versions of the folded string solutions in AdS_{5}\times S^{5} background. They correspond to certain single trace operators in the \mathcal{N}=1 superconformal βdeformation of \mathcal{N}=4 Yang-Mills. We calculate the one loop anomalous dimension for the dual single trace operator from the associated twisted spin chain with a general two-cut distribution of Bethe roots. Our results show a striking match between the two calculations. We demonstrate the natural identification of parameters on the two sides of the analysis, and explain the significance of the Virasoro constraint associated with the winding motion of semiclassical strings from the perspective of the spin chain solution.

Latex 1+28 pages, No figure. Discussion on the field theory operators modified, references added, minor typos corrected

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• Review of AdS/CFT Integrability, Chapter IV.2: Deformations, Orbifolds and Open Boundaries
• Lunin-Maldacena Deformations With Three Parameters
• Spiky Strings, Giant Magnons and beta-deformations
• Integrable twists in AdS/CFT
• On the perturbative chiral ring for marginally deformed N=4 SYM theories
• On the anatomy of multi-spin magnon and single spike string solutions
• Semiclassical Strings, Dipole Deformations of N=1 SYM and Decoupling of KK Modes
• Complex marginal deformations of D3-brane geometries, their Penrose limits and giant gravitons
• Giant Gravitons on Deformed pp-waves
• Probing Universality in the Gravity Duals of N=1 SYM by gamma-deformations
• Pure Spinor Strings in TsT Deformed Background
• Instanton Calculations in the beta-deformed AdS/CFT Correspondence
• Note on Integrability of Marginally Deformed ABJ(M) Theories
• Multi-Spin Strings in AdS_4*CP^3 and its β-deformation
• Notes on Multi-Spin Strings in $Ad{S}_4\times C{P}^3$ and its marginal deformations