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

TL;DR

This paper constructs supersymmetric heterotic solutions using non-SU(3) standard embedding, involving hyperkähler metrics with torsion, T dualities, and domain wall configurations, advancing understanding of heterotic supergravity compactifications.

Contribution

It introduces a novel supersymmetric heterotic solution with non-SU(3) embedding, utilizing hyperkähler with torsion metrics and T dualities, expanding the landscape of heterotic compactifications.

Findings

Constructed a supersymmetric solution with SU(3) holonomy and torsion.

Embedded the metric into heterotic supergravity satisfying the Strominger system.

Derived a supersymmetric domain wall solution via periodic array compactification.

Abstract

A supersymmetric solution to type II supergravity is constructed by superposing two hyperk\"ahlers with torsion metrics. The solution is given by a K\"aler 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.