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Deformed Neumann model from spinning strings on \({\mathrm{AdS}}_5\times\mathrm{S}^5_{\eta}\). (English) Zbl 1333.81303

Summary: We show that bosonic spinning strings on the \(\eta\)-deformed \({\mathrm{AdS}}_5\times\mathrm{S}^5\) 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.

MSC:

81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory
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