Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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1997-05-05

Int.J.Mod.Phys.A13:4445-4468,1998

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, LaTeX, no figures, minor typos corrected

Scientific paper

10.1142/S0217751X98002146

It has been shown recently that the toroidally compactified type IIB string effective action possesses an SL(2, R) invariance as a consequence of the corresponding symmetry in ten dimensions when the self-dual five-form field strength is set to zero. By working in the string frame we clarify how a Z$_2$ subgroup of this SL(2, R) group responsible for producing the strong-weak coupling duality in the ten dimensional theory produces the same symmetry for the reduced theory. In the absence of the full covariant action of type IIB supergravity theory, we show that the T-dual version of type IIA string effective action (including the R-R terms) in D=9 also possesses the SL(2, R) invariance indicating that this symmetry is present for the full type IIB string effective action compactified on torus.

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