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

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.