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

TL;DR

This paper models type IIB string theory vacua using gauged S-duality and affinization, deriving a derived category framework that incorporates gravity and introduces a non-linear potential to describe the morphism structure.

Contribution

It introduces a novel derived category formulation of quantum gravity based on gauged and affinized S-duality in string theory.

Findings

Derived category formulation of quantum gravity including gravity.

Introduction of a non-linear potential for gauged and affinized S-duality.

Framework unifies string vacua modeling with categorical structures.

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.