Statut  Confirmé 
Série  SEMLPTENS 
Domaines  hepth 
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 Mtheory on twisted connected sum $G_2$manifolds 
Résumé  We study the fourdimensional low energy effective N=1 supergravity theory of the dimensional reduction of Mtheory on $G_2$manifolds, which are constructed by Kovalev's twisted connected sum gluing suitable pairs of asymptotically cylindrical CalabiYau threefolds $X_{L/R}$ augmented with a circle $S^1$. In the Kovalev limit the Ricciflat $G_2$metrics are approximated by the Ricciflat 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 (semiclassical) 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 noscale inequality such that no antideSitter vacua are admitted. We describe geometric degenerations in $X_{L/R}$, which lead to nonAbelian 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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