Notes on D-instanton correction to $Ad{S}_5\times S^5$ geometry

Abstract

We show that the D-instanton in the $Ad{S}_5\times S^5$ background is a wormhole connecting the background $Ad{S}_5\times S^5$ to the flat space ${\mathbf{R}}^{10}$ located at the position of the D-instanton. By a $SL(2,\mathbf{R})$ rotation of type IIB theory, we can make the {\it global} geometry flat in string frame. We also find that, due to the tight relation between the dilaton and the axion, there is no $SL(2,\mathbf{R})$ element that takes strong string coupling to weak one without making the axion ill defined. We also discuss the case of $Ad{S}_3$ as well as the instanton gases. A subtlety on the D-instanton at the boundary or at the horizon is discussed.

12 pages, Major revision; Title changed, 2 figures

References in corpus (1)

• Supergravity and The Large N Limit of Theories With Sixteen Supercharges

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