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The hidden symmetry and an infinite set non-local conserved currents of theGreen-Schwarz superstring on $AdS_5\otimes S^5$ have been pointed out by Benaet al. In this paper, we shown that the Hodge dual between the Maurer-Cartanequation and the equation of motion gives the hidden symmetry in the modulispace of Green-Schwarz superstring. Thus by twisty transforming the vielbeins,we can express the currents of the paper$^{\cite{bpr}}$ as the Lax connectionsby a unique spectral parameter.

The Hodge Dual Symmetry of the Green-Schwarz Superstring in $AdS_5 \otimes S^5$