Superstring actions in D = 3,4,6,10 curved superspace
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abstract
The constraints on the supergeometry of D = 3,4,6,10 curved superspace, required for the coupling of supergravity to the Green-Schwarz superstring, are determined. We show that these are consistent with off-shell supergravity or super-Yang-Mills backgrounds for the superstring for D = 3,4,6. 1986.