Heterotic String Dynamics in the Solvable Lie Algebra Gauge

TL;DR

This paper revises the toroidal Kaluza-Klein compactification of the heterotic string's massless sector, analyzing the dynamics of a symmetric space sigma model coupled with gauge fields and a dilaton in a solvable Lie algebra gauge.

Contribution

It provides a formalism for the dynamics of the heterotic string's massless sector in a solvable Lie algebra gauge, deriving explicit bosonic matter field equations.

Findings

Derived the bosonic matter field equations for the compactified heterotic string.

Analyzed the sigma model dynamics coupled with gauge fields and dilaton.

Provided a general formalism for the symmetric space sigma model in this context.

Abstract

A revision of the torodial Kaluza-Klein compactification of the massless sector of the E(8)xE(8) heterotic string is given. Under the solvable Lie algebra gauge the dynamics of the O(p,q)/(O(p)xO(q)) symmetric space sigma model which is coupled to a dilaton, N abelian gauge fields and the Chern-Simons type field strength is studied in a general formalism. The results are used to derive the bosonic matter field equations of the massless sector of the D-dimensional compactified E(8)xE(8) heterotic string.