Covariant quantization of the superstring in AdS3× S3× T4 with mixed flux

A quantizable and manifestly PSU(1, 1|2) × PSU(1, 1|2)-invariant action for the superstring in AdS3 × S3 × T4 with mixed NS-NS and R-R self-dual three-form flux is constructed, which is the analogue of the AdS5 × S5 pure spinor action for AdS3 × S3. The model is then quantized and proven to be conformal invariant at the one-loop level. We conclude by showing how one can relate the supersymmetric description with the Berkovits-Vafa-Witten AdS3 × S3 worldsheet action with mixed flux.