Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Statut Confirmé
Domaines hep-th
Date Mercredi 29 Mars 2017
Heure 11:00
Institut LPTENS
Salle Conference room 4
Nom de l'orateur Klemm
Prenom de l'orateur Albrecht
Addresse email de l'orateur
Institution de l'orateur Bonn University
Titre Effective action from M-theory on twisted connected sum $G_2$-manifolds
Résumé We study the four-dimensional low energy effective N=1 supergravity theory of the dimensional reduction of M-theory on $G_2$-manifolds, which are constructed by Kovalev's twisted connected sum gluing suitable pairs of asymptotically cylindrical Calabi--Yau threefolds $X_{L/R}$ augmented with a circle $S^1$. In the Kovalev limit the Ricci-flat $G_2$-metrics are approximated by the Ricci-flat metrics on $X_{L/R}$ and we identify the universal modulus --- the Kovalon --- that parametrizes this limit. We observe that the low energy effective theory exhibits in this limit gauge theory sectors with extended supersymmetry. We determine the universal (semi-classical) K\"ahler potential of the effective N=1 supergravity action as a function of the Kovalon and the volume modulus of the $G_2$-manifold. This K\"ahler potential fulfills the no-scale inequality such that no anti-de-Sitter vacua are admitted. We describe geometric degenerations in $X_{L/R}$, which lead to non-Abelian gauge symmetries enhancements with various matter content. Studying the resulting gauge theory branches, we argue that they lead to transitions compatible with the gluing construction and provide many new explicit examples of $G_2$-manifolds.
Numéro de preprint arXiv 1702.05435
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