Generalized Duality in Curved String-Backgrounds

TL;DR

This paper demonstrates that $O(d,d, ext{Z})$ symmetries act as discrete transformations on curved string backgrounds, linking different solutions such as black strings and black holes, with implications for string cosmology.

Contribution

It explicitly describes the action of $O(d,d, ext{Z})$ symmetries on curved backgrounds and explores their role in relating various string solutions, including black objects and cosmological models.

Findings

$O(d,d, ext{Z})$ are discrete symmetries of curved string backgrounds

Black string solutions are dual to charged black holes

Symmetries include dilaton transformations and relate singular backgrounds

Abstract

The elements of $O(d,d,\Z)$ 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.