Flat Currents of Green—Schwarz Superstring in AdS3 × S3 under Symmetry Transformations

Abstract

We show that for Green—Schwarz superstring in AdS3 × S3, the one-parameter family of flat currents retains a zero-curvature condition and keeps the variation relations under κ-symmetry, diffeomorphism, local Lorentz SO(1, 2) × SO(3) and global PSU(1, 1|2)2 symmetry transformations respectively. This indicates that the flat currents exist in all the κ-symmetry gauge fixed cases. As a result, we find that the infinite conserved quantities are invariant under these transformations and independent of the gauge choice of the system.