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arXiv · 1308.1955

Heterotic G_2-manifold compactifications with fluxes and fermionic condensates

Karl-Philip Gemmer·Olaf Lechtenfeld
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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.

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Karl-Philip Gemmer, Olaf Lechtenfeld. 2013-08-08. Heterotic G_2-manifold compactifications with fluxes and fermionic condensates. https://doi.org/10.1007/jhep11(2013)182

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