# On Heterotic Vacua with Fermionic Expectation Values

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 :
Type de document :
Pré-publication, Document de travail
t17/013. 43 pages. 2017
Domaine :

https://hal-cea.archives-ouvertes.fr/cea-01474713
Contributeur : Emmanuelle De Laborderie <>
Soumis le : jeudi 23 février 2017 - 10:06:20
Dernière modification le : vendredi 31 août 2018 - 09:03:55

### Identifiants

• HAL Id : cea-01474713, version 1
• ARXIV : 1702.01156

### Citation

Ruben Minasian, Michela Petrini, Eirik Eik Svanes. On Heterotic Vacua with Fermionic Expectation Values. t17/013. 43 pages. 2017. 〈cea-01474713〉

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