M Theory from World-Sheet Defects in Liouville String

TL;DR

This paper explores how defects in a supersymmetric Liouville string model relate to M theory, revealing critical behavior in 11 dimensions and connections to F theory through a 12-dimensional framework.

Contribution

It introduces a supersymmetric extension of Liouville dynamics that links world-sheet defects to M theory and suggests a 12-dimensional embedding related to F theory.

Findings

Critical behavior in 11 dimensions due to defect condensation.

Supersymmetric Liouville model embeds within a 12-dimensional framework.

Connection between world-sheet defects and M/F theory concepts.

Abstract

We have argued previously that black holes may be represented in a D-brane approach by monopole and vortex defects in a sine-Gordon field theory model of Liouville dynamics on the world sheet. Supersymmetrizing this sine-Gordon system, we find critical behaviour in 11 dimensions, due to defect condensation that is the world-sheet analogue of D-brane condensation around an extra space-time dimension in M theory. This supersymmetric description of Liouville dynamics has a natural embedding within a 12-dimensional framework suggestive of F theory.