Deformations and parity
Metric is parity-even, and NSNS -field is parity-odd
The RR 1-form and 5-form are parity even, and the RR 3-form is parity odd.
Dilaton is parity-evenNonphysical deformation which we considered is parity-odd, and the deformation of BRST operator is also parity-odd. Therefore it appears that it should not correspond to dilaton.