Space-Time Supersymmetry, IIA/B Duality and M-Theory

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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LaTeX, 14 pages; v2:one reference added and extended discussion of the BPS mass formula; v3: minor changes, to appear in PLB

Scientific paper

10.1016/S0370-2693(99)01114-4

The connection between IIA superstring theory compactified on a circle of radius R and IIB theory compactified on a circle of radius 1/R is reexamined from the perspective of N=2, D=9 space-time supersymmetry. We argue that the consistency of IIA/B duality requires the BPS states corresponding to momentum and winding of either of the type-II superstrings to transform as inequivalent supermultiplets. We show that this is indeed the case for any finite compactification radius, thus providing a nontrivial confirmation of IIA/B duality. From the point of view of N=2, D=9 supergravity, one is naturally led to an SL(2,Z) invariant field theory that encompasses both the M-theory torus and the Kaluza-Klein states of the IIB theory.

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