Spinning strings in AdS_3 x S^3 with NS-NS flux

Abstract

The sigma model describing closed strings rotating in AdS_3 x S^3 is known to reduce to the one-dimensional Neumann-Rosochatius integrable system. In this article we show that closed spinning strings in AdS_3 x S^3 x T^4 in the presence of NS-NS three-form flux can be described by an extension of the Neumann-Rosochatius system. We consider closed strings rotating with one spin in AdS_3 and two different angular momenta in S^3. For a class of solutions with constant radii we find the dependence of the classical energy on the spin and the angular momenta as an expansion in the square of the 't Hooft coupling of the theory.

14 pages. Latex. v2: Equations (3.19) and (3.28) corrected and reference added. v3: Expanded discussion on the WZW limit and additional references. Published version. v4: Misprints corrected

References in corpus (9)

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Cited by in corpus (12)

• The complete worldsheet S matrix of superstrings on AdS_3 x S^3 x T^4 with mixed three-form flux
• On the Dressing Factors, Bethe Equations and Yangian Symmetry of Strings on AdS3 x S3 x T4
• Macroscopic (and Microscopic) Massless Modes
• Elliptic solutions in the Neumann-Rosochatius system with mixed flux
• The ${\mathrm{AdS}}_3\times {\mathrm{S}}^3\times {\mathrm{S}}^3\times {\mathrm{S}}^1$ worldsheet S matrix
• Spinning strings in the $\eta$-deformed Neumann-Rosochatius system
• Isometry Group Orbit Quantization of Spinning Strings in AdS_3 x S^3
• Three-parameter deformation of $\mathbb{R}\times S^3$ in the Landau-Lifshitz limit
• $Ad{S}_3\times S^3$ Background from Poisson-Lie T-Duality
• Neumann-Rosochatius system for (m,n) string in $Ad{S}_3\times S^3$ with mixed flux
• $N$-spike string in $Ad{S}_3\times S^1$ with mixed flux
• $SL(2,Z)$ invariant rotating $(m,n)$ strings in $Ad{S}_3\times S^3$ with mixed flux