Derived Category Structure and Non-linear Potential of Gauged S-Duality

Abstract

Based on the modeling of type IIB string theory vacua using gauged S-duality and the Chan-Paton symmetries by introducing an infinite number of open string charges (affinization), we derive the derived category formulation of the quantum mechanical world including gravity. This leads to the concept of a non-linear potential of gauged and affinized S-duality which specifies the morphism structure of this derived category.