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We quantize the superstring on the AdS2×S2background with Ramond–Ramond flux using a PSU(1,1|2)/U(1)×U(1) sigma model with a WZ term. One-loop conformal invariance of the model is guaranteed by a general mechanism which holds for coset spaces G/Hwhere Gis Ricci-flat and His the invariant locus of a Z4automorphism of G. This mechanism gives conformal theories for the PSU(1,1|2)×PSU(2|2)/SU(2)×SU(2) and PSU(2,2|4)/SO(4,1)×SO(5) coset spaces, suggesting our results might be useful for quantizing the superstring on AdS3×S3and AdS5×S5backgrounds.