Heterotic G_2-manifold compactifications with fluxes and fermionic condensates
High Energy Physics - Theory
2015-06-16 v1
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.
Keywords
Cite
@article{arxiv.1308.1955,
title = {Heterotic G_2-manifold compactifications with fluxes and fermionic condensates},
author = {Karl-Philip Gemmer and Olaf Lechtenfeld},
journal= {arXiv preprint arXiv:1308.1955},
year = {2015}
}
Comments
1+21 pages, 18 figures