Integrability of the superstring in AdS(3) x S(2) x S(2) x T(3)

Understand

Type II supergravity admits an AdS(3) x S(2) x S(2) x T(3) solution with fluxes depending on several free parameters.

• We determine the constraints on these parameters imposed by the requirement of (classical) integrability of the superstring sigma model.
• To do this we analyze the low-energy effective action for the spinning GKP string.
• The absence of particle production in the tree-level S-matrix of bosonic excitations is shown to imply the vanishing of two of the four parameters in the NSNS three-form flux.