Duality and Moduli Spaces for Time-Like Reductions

TL;DR

This paper investigates the dimensional reduction of supergravity, string, and M-theories on tori with a time-like circle, identifying the scalar coset spaces and duality groups involved.

Contribution

It characterizes the scalar moduli spaces and duality groups arising from time-like compactifications, extending understanding of supergravity and string theory reductions.

Findings

Identified the coset spaces for massless scalars.

Determined the discrete duality groups.

Analyzed the structure of time-like reductions.

Abstract

We consider the dimensional reduction/compactification of supergravity, string and M-theories on tori with one time-like circle. We find the coset spaces in which the massless scalars take their values, and identify the discrete duality groups.