Quantum deformations of the flat space superstring

الأصل · EN

We discuss a quantum deformation of the Green-Schwarz superstring on flat space, arising as a contraction limit of the corresponding deformation of AdS₅ x S⁵. This contraction limit turns out to be equivalent to a previously studied limit that yields the so-called mirror model - the model obtained from the light cone gauge fixed AdS₅ x S⁵ string by a double Wick rotation. Reversing this logic, the AdS₅ x S⁵ superstring is the double Wick rotation of a quantum deformation of the flat space superstring. This quantum deformed flat space string realizes symmetries of timelike kappa-Poincare type, and is T dual to dS₅ x H⁵, indicating interesting relations between symmetry algebras under T duality. Our results directly extend to AdS₂ x S² x T⁶ and AdS₃ x S³ x T⁴, and beyond string theory to many (semi)symmetric space coset sigma models, such as for example a deformation of the four dimensional Minkowski sigma model with timelike kappa-Poincare symmetry. We also discuss possible null and spacelike deformations.