Some Relationships Between Dualities in String Theory

TL;DR

This paper reviews relationships between various string theories and eleven-dimensional supergravity, exploring dualities, supersymmetry cases, and geometric quotients, highlighting potential new connections in string theory landscape.

Contribution

It provides a detailed review of dualities and relationships between string theories and supergravity, including specific supersymmetry cases and geometric considerations.

Findings

Relationships between string theories and supergravity are interconnected.

Certain supersymmetry cases lead to geometric quotient considerations.

Potential new links between eleven-dimensional supergravity and heterotic strings.

Abstract

Some relationships between string theories and eleven-dimensional supergravity are discussed and reviewed. We see how some relationships can be derived from others. The cases of N=2 supersymmetry in nine dimensions and N=4 supersymmetry in four dimensions are discussed in some detail. The latter case leads to consideration of quotients of a K3 surface times a torus and to a possible peculiar relationship between eleven-dimensional supergravity and the heterotic strings in ten dimensions. Lecture given at "S-Duality and Mirror Symmetry", Trieste, June 1995.