M-theory/heterotic Duality: a Kaluza-Klein Perspective

TL;DR

This paper explores the classical duality between M-theory and heterotic string theory through Kaluza-Klein reductions, analyzing their sigma-model structures, charge lattices, and symmetries across various dimensions.

Contribution

It provides a detailed Kaluza-Klein perspective on M-theory/heterotic duality, including derivations of global symmetries and coset structures using solvable Lie algebra formalism.

Findings

Established the correspondence between p-brane charge lattices.

Derived the global symmetries of heterotic theory in various dimensions.

Analyzed the sigma-model coset structures in dual theories.

Abstract

We study the duality relationship between M-theory and heterotic string theory at the classical level, emphasising the transformations between the Kaluza-Klein reductions of these two theories on the K3 and T^3 manifolds. Particular attention is devoted to the corresponding structures of sigma-model cosets and the correspondence between the p-brane charge lattices. We also present simple and detailed derivations of the global symmetries and coset structures of the toroidally-compactified heterotic theory in all dimensions D \ge 3, making use of the formalism of solvable Lie algebras.