Confinement and the Short Type I' Flux Tube

TL;DR

This paper explores the quantum fluctuations of short flux tubes in type II string theory, revealing their connection to D0branes, M2branes, and nonperturbative states, thereby providing insights into confinement and dualities in string theory.

Contribution

It introduces a precise description of stable short flux tubes in type I' string theory and links them to M-theory branes, confirming heterotic-type I duality and nonperturbative phenomena.

Findings

Existence of stable short flux tubes in type I' string theory.

Identification of M2branes as strong coupling resolutions of singularities.

Confirmation of heterotic-type I duality across moduli space.

Abstract

We show that the recent world-sheet analysis of the quantum fluctuations of a short flux tube in type II string theory leads to a simple and precise description of a pair of stuck D0branes in an orientifold compactification of the type I' string theory. The existence of a stable type I' flux tube of sub-string-scale length is a consequence of the confinement of quantized flux associated with the scalar dualized ten-form background field strength *F_{10}, evidence for a -2brane in the BPS spectrum of M theory. Using heterotic-type I duality, we infer the existence of an M2brane of finite width O(\sqrt{\alpha'}) in M-theory, the strong coupling resolution of a spacetime singularity in the D=9 twisted and toroidally compactified E_8 x E_8 heterotic string. This phenomenon has a bosonic string analog in the existence of a stable short electric flux tube arising from the confinement of photons due to tachyon field dynamics. The appendix clarifies the appearance of nonperturbative states and enhanced gauge symmetry in toroidal compactifications of the type I' string. We account for all of the known disconnected components of the moduli space of theories with sixteen supercharges, in striking confirmation of heterotic-type I duality.