Deformed Neumann model from spinning strings on (AdS_5 x S^5)_\eta

Understand

We show that bosonic spinning strings on the \eta-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.