Dilaton, moduli and string/five-brane duality as seen from four dimensions

TL;DR

This paper investigates how the dilaton and moduli fields transform under string/five-brane duality in four-dimensional supergravity, revealing their exchange roles between 10D dilaton and compactification radius.

Contribution

It provides a detailed analysis of the duality transformation effects on key string theory fields using dimensional reduction and linear multiplet formalism.

Findings

Dilaton and moduli exchange roles under duality.

Duality relates 10D dilaton to compactification radius.

Linear multiplet description clarifies the duality phenomenon.

Abstract

A naive dimensional reduction of the $N=1, D=10$ supergravity theory that naturally arises in five-brane models is used to determine the r\^ole of two fields which are basic ingredients of string models: the dilaton and, among the moduli, the breathing mode. It is shown that, under the duality transformation that relates five-branes and strings, these two fields exchange the r\^oles of 10-dimensional dilaton and radius of the compact manifold. A description of this phenomenon in terms of the linear multiplets of the 4-dimensional supergravity is also presented.