Supersymmetry breaking, open strings and M-theory

TL;DR

This paper explores supersymmetry breaking via Scherk-Schwarz compactifications in type I string theory, highlighting how it affects different sectors and its implications for the string scale and Newton's constant.

Contribution

It demonstrates a non-perturbative supersymmetry breaking mechanism in type I string theory with specific compactification scales and discusses its phenomenological implications.

Findings

Supersymmetry breaking mass splittings are proportional to the compactification radius.

Massless D-brane excitations remain supersymmetric despite bulk breaking.

The mechanism suggests a string scale near 10^{16} GeV and explains Newton's constant.

Abstract

We study supersymmetry breaking by Scherk-Schwarz compactifications in type I string theory. While in the gravitational sector all mass splittings are proportional to a (large) compactification radius, supersymmetry remains unbroken for the massless excitations of D-branes orthogonal to the large dimension. In this sector, supersymmetry breaking can then be mediated by gravitational interactions alone, that are expected to be suppressed by powers of the Planck mass. The mechanism is non perturbative from the heterotic viewpoint and requires a compactification radius at intermediate energies of order 10^{12}-10^{14} GeV. This can also explain the value of Newton's constant if the string scale is close to the unification scale, of order 10^{16} GeV.