Superbranes and Generic Target Space Curving

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Embedding of a Green-Schwarz superbrane into a generic curved target space in a general covariant way is considered. It is demonstrated explicitely, that the customary superbrane formulation based on finite-component spinors extends to a superspaces of restricted curving only, with the General Coordinate Transformations realized nonlinearly over its orthogonal type subgroups. Infinite-component, world, spinors and a recently constructed corresponding Dirac-like equation, enable a possibility of a manifestly covariant generic curved target space superbrane formulation.