Heterotic G 2-manifold compactifications with fluxes and fermionic condensates
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We consider flux compactifications of heterotic string theory in the presence of fermionic condensates on M 1,2 × 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 α ′. 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.
KeywordsFlux compactifications Superstring Vacua Superstrings and Heterotic Strings Solitons Monopoles and Instantons
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