Split Supersymmetry in String Theory

TL;DR

This paper explores how Type I string theory with internal magnetic fields can realize split supersymmetry, where gauginos are massless at lowest order and squarks and sleptons are superheavy, maintaining gauge coupling unification.

Contribution

It provides a concrete string theory model for split supersymmetry with mechanisms for TeV-scale gaugino and higgsino mass generation.

Findings

Gauginos are massless at lowest order while squarks and sleptons are superheavy.

Gauge coupling unification is achieved at the GUT scale with rac{3}{8}  heta_W.

Mechanisms for TeV-scale gaugino and higgsino masses are discussed.

Abstract

Type I string theory in the presence of internal magnetic fields provides a concrete realization of split supersymmetry. To lowest order, gauginos are massless while squarks and sleptons are superheavy. For weak magnetic fields, the correct Standard Model spectrum guarantees gauge coupling unification with \sin^2{\theta_W}=3/8 at the compactification scale of M_{\rm GUT}\simeq 2 \times 10^{16} GeV. I discuss mechanisms for generating gaugino and higgsino masses at the TeV scale, as well as generalizations to models with split extended supersymmetry in the gauge sector.