Symmetries of String Effective Action and Space-Time Geometry

TL;DR

This paper explores how $O(2,2)$ transformations relate different black hole and monopole solutions, illustrating their role as duality transformations in string theory's effective actions and space-time geometry.

Contribution

It demonstrates that specific $O(2,2)$ transformations connect various black hole and monopole solutions, highlighting their interpretation as dualities in string theory.

Findings

Two-dimensional charged black hole obtained via $O(2,2)$ transformation.

Different five-dimensional monopole backgrounds related through $O(2,2)$.

$O(2,2)$ transformations correspond to duality transformations.

Abstract

Two dimensional charged black hole solution is obtained by implementing an $O(2,2)$ transformation on the three dimensional black string solution. Two different monopole backgrounds in five dimensions are related through an $O(2,2)$ transformation. It has been shown in these examples that the particular $O(2,2)$ transformation corresponds to duality transformation.