Towards a two-parameter q-deformation of AdS₃ x S³ x M⁴ superstrings

الأصل · EN

We construct a two-parameter deformation of the Metsaev-Tseytlin action for supercosets with isometry group of the form G x G. The resulting action is classically integrable and is Poisson-Lie symmetric suggesting that the symmetry of the model is q-deformed, Uqₗ(G) x Uqᵣ(G). Focusing on the cases relevant for strings moving in AdS₃ x S³ x T⁴ and AdS₃ x S³ x S³ x S¹, we analyze the corresponding deformations of the AdS₃ and S³ metrics. We also construct a two-parameter q-deformation of the u(1) + psu(1|1)² x u(1) x R³-invariant R-matrix and closure condition, which underlie the light-cone gauge S-matrix and dispersion relation of the aforementioned string theories. With the appropriate identification of parameters, the near-BMN limit of the dispersion relation is shown to agree with that found from the deformed supercoset sigma model.