Heterotic G₂-manifold compactifications with fluxes and fermionic condensates

2013/08/08 by Karl-Philip Gemmer, Olaf Lechtenfeld · 1 citation
Physics and Astronomy · #hep-th

paper · pdf · doi:10.1007/jhep11(2013)182

1+21 pages, 18 figures

arxiv created 2013/08/08 · arxiv updated 2015/06/16

Abstract

We consider flux compactifications of heterotic string theory in the presence of fermionic condensates on M_1,2 times X₇ with both factors carrying a Killing spinor. In other words, M_1,2 is either de Sitter, anti-de Sitter or Minkowski, and X₇ possesses a nearly parallel G₂-structure or has G₂-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 G₂-instanton. It is shown that none of the solutions to the field equations is supersymmetric.

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