String spectrum of curved string backgrounds obtained by T-duality and shifts of polar angles

Abstract

A class of exactly solvable string models can be obtained by starting with flat space and combining T-duality and shifts of angular coordinates of several polar planes. The models are the analog of the Lunin-Maldacena β-deformation of the AdS_5 x S^5 type IIB string background, which is dual to a Leigh-Strassler deformation of \N=4 Super Yang-Mills Theory. We determine the complete physical string spectrum for two string models obtained in this way, by explicitly solving the string equations and quantizing in terms of free creation and annihilation operators. We also show that the 3-parameter (b_1,b_2,b_3) model, obtained by three independent TsT transformations, has tachyons in some regions of the parameter space.

14 pages. Small corrections

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• Lax Pair for Strings in Lunin-Maldacena Background
• Gauge-string duality for superconformal deformations of N=4 Super Yang-Mills theory
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• 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
• Rotating Strings with Two Unequal Spins in Lunin-Maldacena Background
• Probing Universality in the Gravity Duals of N=1 SYM by gamma-deformations
• Semiclassical Strings in Electric and Magnetic Fields Deformed $Ad{S}_5\times S^5$ Spacetimes
• Pure Spinor Strings in TsT Deformed Background
• Multi-spin String Solutions in Magnetic-flux Deformed $Ad{S}_n\times S^m$ Spacetime
• Gravity duals for the Coulomb branch of marginally deformed N=4 Yang-Mills
• gamma_i Deformed Lax Pair for Rotating Strings in the Fast Motion Limit
• On supersymmetry and other properties of a class of marginally deformed backgrounds