Generalized Duality in Curved String-Backgrounds

Abstract

The elements of $O(d,d,\mathbb{Z})$ are shown to be discrete symmetries of the space of curved string backgrounds that are independent of $d$ coordinates. The explicit action of the symmetries on the backgrounds is described. Particular attention is paid to the dilaton transformation. Such symmetries identify different cosmological solutions and other (possibly) singular backgrounds; for example, it is shown that a compact black string is dual to a charged black hole. The extension to the heterotic string is discussed.

23 pages

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• Duality, Quotients, and Currents
• Duality and Dilaton
• Twisting Classical Solutions in Heterotic String Theory
• Charged Black Holes in Two-Dimensional String Theory
• An Equivalence Between Momentum and Charge in String Theory
• Generalized Duality and Singular Strings in Higher Dimensions

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