On M-Theory and the Symmetries of Type II String Effective Actions

Abstract

We study the ``ordinary'' Scherk-Schwarz dimensional reduction of the bosonic sector of the low energy effective action of a hypothetical M-theory on $S^1\times S^1\cong T^2$. We thus obtain the low energy effective actions of type IIA string theory in both ten and nine space-time dimensions. We point out how to obtain the O(1, 1) invariance of the NS-NS sector of the string effective action correctly in nine dimensions. We dimensionally reduce the type IIB string effective action on $S^1$ and show that the resulting nine dimensional theory can be mapped, purely from the bosonic consideration, exactly to the type IIA theory by an O(1, 1) or Buscher's T-duality transformations. We then give a dynamical argument, in analogy with that for the type IIB theory in ten dimensions, to show how an S-duality in the type IIA theory can be understood from the underlying nine dimensional theory by compactifying M-theory on a T-dual torus ${\tilde{T}}^2$.

25 pages, latex

References in corpus (8)

• Dirichlet-Branes and Ramond-Ramond Charges
• Heterotic and Type I String Dynamics from Eleven Dimensions
• Evidence for Heterotic - Type I String Duality
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• D-branes from M-branes
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Cited by in corpus (5)

• Intersecting non-SUSY $p$-brane with chargeless 0-brane as black $p$-brane
• Non-SUSY $p$-branes delocalized in two directions, tachyon condensation and T-duality
• On S-Duality of Toroidally Compactified Type IIB String Effective Action
• Non-supersymmetric D1/D5, F/NS5 and closed string tachyon condensation
• Kaluza-Klein and H-Dyons in String Theory