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

A bstract A quantizable and manifestly PSU(1 , 1|2) × PSU(1 , 1|2)-invariant action for the superstring in AdS 3 × S 3 × T 4 with mixed NS-NS and R-R self-dual three-form flux is constructed, which is the analogue of the AdS 5 × S 5 pure spinor action for AdS 3 × S 3 . 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 AdS 3 × S 3 worldsheet action with mixed flux.