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Abstract:
N = 2 extended space-time supersymmetry in nine dimensions implies that the BPS states corresponding to momentum and winding of either of the type-II superstrings compactified on S1 transform as inequivalent supermultiplets. This fact can be checked using world-sheet techniques, and provides the physical basis for the connection between IIA superstring theory compactified on a circle of radius R and IIB theory compactified on a circle of radius 1/R. Aspects of the duality between M-theory compactified on T2 and IIB theory compactified on S1 follow from the structure of N = 2, D = 9 supergravity. The coupling of N = 2, D = 9 supergravity to the BPS states is also discussed.
