Deformed Neumann model from spinning strings on (AdS_5 x S^5)_η

Abstract

We show that bosonic spinning strings on the η-deformed AdS_5 x S^5 background are naturally described as periodic solutions of a novel finite-dimensional integrable system which can be viewed as a deformation of the celebrated Neumann model. For this deformed model we find the Lax representation and the analogue of the Uhlenbeck integrals.

17 pages, no figures; v3: published version

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Cited by in corpus (32)

• An Integrable Deformation of the AdS5 x S5 Superstring
• $\eta$ and $\lambda$ deformations as $\mathcal{E}$-models
• Abelian Yang-Baxter Deformations and TsT transformations
• Integrable Deformations of Strings on Symmetric Spaces
• Towards a two-parameter q-deformation of AdS_3 x S^3 x M^4 superstrings
• Supergravity backgrounds for deformations of AdS_n x S^n supercoset string models
• Beta Function of k Deformed AdS_5 x S^5 String Theory
• Poisson-Lie T-duals of the bi-Yang-Baxter models
• Double Wick rotating Green-Schwarz strings
• A new coordinate system for q-deformed AdS_5 x S^5 and classical string solutions
• Yang-Baxter Deformations Beyond Coset Spaces (a slick way to do TsT)
• Puzzles of eta-deformed AdS_5 x S^5
• Spinning strings in AdS_3 x S^3 with NS-NS flux
• $I$ in generalized supergravity
• On the Rotating and Oscillating strings in $(Ad{S}_3\times S^3{)}_{\varkappa }$
• Resurgence in $\eta$-deformed Principal Chiral Models
• Quantum Spectral Curve for the eta-deformed AdS_5xS^5 superstring
• Superintegrability of Geodesic Motion on the Sausage Model
• General phase spaces: from discrete variables to rotor and continuum limits
• Elliptic solutions in the Neumann-Rosochatius system with mixed flux
• Spinning strings in the $\eta$-deformed Neumann-Rosochatius system
• Pulsating strings on $(Ad{S}_3\times S^3{)}_{\varkappa }$
• Integrability of the eta-deformed Neumann-Rosochatius model
• On circular strings in $(Ad{S}_3\times S^3{)}_{\varkappa }$
• Integrable strings for AdS/CFT
• Multispin magnons on deformed $Ad{S}_3\times S^3$
• Probing analytical and numerical integrability: The curious case of $(Ad{S}_5\times S^5{)}_{\eta }$
• Holographic Cusped Wilson loops in $q$-deformed $Ad{S}_5\times S^5$ Spacetime
• Some three-point correlation functions in the eta-deformed AdS_5 x S^5
• Generalized quark-antiquark potentials from a $q$-deformed AdS${}_5\times$S${}^5$ background
• Double Yang-Baxter deformation of spinning strings
• Semiclassical structure constants in the eta-deformed AdS_5 x S^5: Leading finite-size corrections