D-brane Dualities as Canonical Transformations

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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12 pgs, latex file, reference added

Scientific paper

10.1016/S0370-2693(97)00292-X

We show that the SL(2,R) duality symmetry of type IIB superstring theory can be formulated as the canonical transformation interchanging momenta and magnetic degrees of freedom associated to the abelian world-volume gauge field of the D-3-brane. D-strings are shown to be connected under the corresponding transformation in the world-sheet to the (m,n) family of string solutions of type IIB supergravity constructed by Schwarz. For the type IIA superstring the D-2-brane is mapped under the three dimensional world-volume electric-magnetic duality to the dimensional reduction of the membrane of M-theory.

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