Heterotic string dynamics in the solvable Lie algebra gauge

A revision of the toroidal Kaluza–Klein compactification of the massless sector of the E8×E8E8×E8 heterotic string is given. Under the solvable Lie algebra gauge the dynamics of the O(p,q)/(O(p)×O(q))O(p,q)/(O(p)×O(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 E8×E8E8×E8 heterotic string.