String Theory is a mathematically consistent description of all known forces of nature. it works in ten dimensions - space-time and a 3D compact complex manifold. This project lies in the attempt to find a manifold more general than that coming from the Calabi-Yau Theory. It combines the Courant Algebra with the Kac-Moody Algebra. The goals are to define the commutator bracket for the semi-direct product of these algebras, to then find how this bracket performs on an element in the adjoint representation along with an element of the coadjoint representation, and finally to build a geometric action for this algebra. The desired result is to describe how fields in String Theory affect D-branes.