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We present affine Lie algebras generated by the supercovariant derivativesand the supersymmetry generators for the left and right moving modes in thedoubled space. Chirality is manifest in our doubled space as well as theT-duality symmetry. We present gauge invariant bosonic and superstring actionspreserving the two-dimensional diffeomorphism invariance and the kappa-symmetrywhere doubled spacetime coordinates are chiral fields. The doubled spacebecomes the usual space by dimensional reduction constraints.

Type II chiral affine Lie algebras and string actions in doubled space