On Heterotic Vacua with Fermionic Expectation Values

* Corresponding author
Abstract : We study heterotic backgrounds with non-trivial $H$-flux and non-vanishing expectation values of fermionic bilinears, often referred to as gaugino condensates. The gaugini appear in the low energy action via the gauge-invariant three-form bilinear $\Sigma_{MNP}={\rm tr}\:\bar\chi\Gamma_{MNP}\chi$. For Calabi-Yau compactifications to four dimensions, the gaugino condensate corresponds to an internal three-form $\Sigma_{mnp}$ that must be a singlet of the holonomy group. This condition does not hold anymore when an internal $H$-flux is turned on and ${\cal O}(\alpha')$ effects are included. In this paper we study flux compactifications to three and four-dimensions on $G$-structure manifolds. We derive the generic conditions for supersymmetric solutions. We use integrability conditions and Lichnerowicz type arguments to derive a set of constraints whose solution, together with supersymmetry, is sufficient for finding backgrounds with gaugino condensate.
Keywords :
Document type :
Journal articles
Domain :

Cited literature [36 references]

https://hal-cea.archives-ouvertes.fr/cea-01474713
Contributor : Emmanuelle de Laborderie Connect in order to contact the contributor
Submitted on : Friday, February 8, 2019 - 1:32:53 PM
Last modification on : Wednesday, April 14, 2021 - 12:13:08 PM
Long-term archiving on: : Thursday, May 9, 2019 - 2:38:45 PM

File

Minas1.pdf
Files produced by the author(s)

Citation

Ruben Minasian, Michela Petrini, Eirik Eik Svanes. On Heterotic Vacua with Fermionic Expectation Values. Fortschritte der Physik / Progress of Physics, Wiley-VCH Verlag, 2017, 65 (3-4), pp.1700010. ⟨10.1002/prop.201700010⟩. ⟨cea-01474713⟩

Record views