Abstract
The covariant superstring theory proposed by Siegel is studied in the light-cone gauge. The physical states are the direct product of those of the Green-Schwarz superstring and the additional internal space spanned by light-cone spinors. The former is closed under super Poincaré transformations. The latter must be invariant under a set of gauge transformations remaining in the light-cone gauge. When the invariance is imposed as the physical state conditions, it is shown that no physical state exists for the modified superstring theory.
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