Heterotic G_2-manifold compactifications with fluxes and fermionic condensates

Abstract

We consider flux compactifications of heterotic string theory in the presence of fermionic condensates on M_{1,2} times X_7 with both factors carrying a Killing spinor. In other words, M_{1,2} is either de Sitter, anti-de Sitter or Minkowski, and X_7 possesses a nearly parallel G_2-structure or has G_2-holonomy. We solve the complete set of field equations and the Bianchi identity to order alpha'. The latter is satisfied via a non-standard embedding by choosing the gauge field to be a G_2-instanton. It is shown that none of the solutions to the field equations is supersymmetric.

1+21 pages, 18 figures

References in corpus (2)

• Torsional Heterotic Geometries
• Nearly Kähler heterotic compactifications with fermion condensates

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• Consistent truncation with dilatino condensation on nearly Kähler and Calabi-Yau manifolds
• Some remarks on strong ${\mathrm{G}}_2$-structures with torsion
• $Spin(7)$ Compactifications and 1/4-BPS Vacua in Heterotic Supergravity