Symmetry in the Topological Phase of String Theory

TL;DR

This paper argues that the topological phase of string theory should be event-symmetric and explores the concept of a universal string group to unify space-time and gauge symmetries, proposing quantum groups as a potential solution.

Contribution

It introduces the idea of event-symmetry in string theory's topological phase and investigates a universal string group, suggesting quantum groups for a consistent discrete-continuum duality.

Findings

Partial success in defining a universal string group

Speculation on quantum groups resolving duality issues

Incompleteness of current theoretical framework

Abstract

I present arguments to the affect that the topological phase of string theory must be event-symmetric. This motivates a search for a universal string group for discrete strings in event-symmetric space-time which unifies space-time symmetry with internal gauge symmetry. This is partially successful but the results are incomplete and I speculate on the use of quantum groups to define a well behaved theory which would resolve the discrete/continuum dual nature of stringy space-time.