Supersymmetric heterotic solutions via non-SU(3) standard embedding

Abstract

A supersymmetric solution to type II supergravity is constructed by superposing two hyperkählers with torsion metrics. The solution is given by a Käler with torsion metric with $SU(3)$ holonomy. The metric is embedded into a heterotic solution obeying the Strominger system, together with a Yang-Mills instanton obtained by the standard embedding. T dualities lead to an $SO(6)$ instanton describing a symmetry breaking from $E_8$ to $SO(10)$. The compactification by taking a periodic array yields a supersymmetric domain wall solution of heterotic supergravity.

arXiv comment9 pages with 4 figures; added 1 reference for section 4

References in corpus (12)

• Hierarchies from Fluxes in String Compactifications
• Twistor spaces for HKT manifolds
• Geometry of Hyper-Kähler Connections with Torsion
• Vanishing Theorems and String Backgrounds
• Intersection Rules for Non-Extreme $p$-Branes
• Intersection Rules for p-Branes
• Comments on Heterotic Flux Compactifications
• Heterotic supersymmetric backgrounds with compact holonomy revisited
• Chiral Generations on Intersecting 5-branes in Heterotic String Theory
• Relating Conifold Geometries to NS5-branes
• Chiral Zero Modes on Intersecting Heterotic 5-branes
• Family Unification via Quasi-Nambu-Goldstone Fermions in String Theory

Cited by in corpus (1)

• Hyper-Kähler with Torsion, T-duality, and Defect (p,q) Five-branes