BOSONIC STRING — KALUZA–KLEIN THEORY EXACT SOLUTIONS USING 5D–6D DUALITIES

Abstract

We present explicit formulas which allow one to transform a general solution of the 6D Kaluza–Klein theory compactified on a three-torus into a special solution of the 6D bosonic string theory compactified on a three-torus, as well as into the general solution of the 5D bosonic string theory compactified on a two-torus. We construct a new family of extremal solutions of the 3D chiral equation for the SL(4, R)/SO(4) coset matrix and interpret it in terms of the component fields of these three duality related theories.