S-Duality and Cosmological Constant in String Theory

Abstract

The S-duality invariance of the equations of motion of four dimensional string effective action with cosmological constant, $\Lambda$, is studied. It is demonstrated that the S-duality symmetry of the field equations are broken for nonzero $\Lambda$. The ``naturalness'' hypothesis is invoked to argue that $\Lambda$ 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 )

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