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S-Duality and Cosmological Constant in String Theory

arXiv:hep-th/9507063 · doi:10.1016/0370-2693(96)00227-4

Abstract

The S-duality invariance of the equations of motion of four dimensional string effective action with cosmological constant, $Λ$, is studied. It is demonstrated that the S-duality symmetry of the field equations are broken for nonzero $Λ$. The ``naturalness'' hypothesis is invoked to argue that $Λ$ should remain small since exact S-duality symmetry will force the cosmological constant to vanish in the string effective action.

13 pages, RevTex , slightly extended version with more discussions added ( To appear in Phys. Lett. B )