scholarly journals A new example of a compact ERP G2‐structure

2021 ◽  
Author(s):  
Ines Kath ◽  
Jorge Lauret
Keyword(s):  
G2 Structure

scholarly journals On the automorphism group of a closed G2-structure

2018 ◽  
Vol 70 (1) ◽  
pp. 195-200 ◽  
Author(s):  
Fabio Podestà ◽  
Alberto Raffero
Keyword(s):  
Automorphism Group ◽  
G2 Structure

scholarly journals SU(3)-Structures on Hypersurfaces of Manifolds With G2-Structure

2006 ◽  
Vol 148 (1) ◽  
pp. 29-50 ◽  
Author(s):  
Francisco Martín Cabrera
Keyword(s):  
G2 Structure

scholarly journals Dirac Operator on a 7-Manifold with Deformed G2 Structure

2012 ◽  
Vol 20 (3) ◽  
pp. 83-94
Author(s):  
Nülifer Özdemir ◽  
Şirin Aktay
Keyword(s):  
Vector Field ◽  
Dirac Operator ◽  
Dirac Operators ◽  
G2 Structure

AbstractIn this work, we consider the deforming of a G2 structure by a vector field on a 7-manifold. To obtain the metric corresponding to deformed G2 structure, a new map is defined. By using this new map, the co- variant derivatives on associated spinor bundles are compared. Then, the relation between Dirac operators on spinor bundles are investigated under some restrictions.

scholarly journals Nilmanifolds with a calibrated G2-structure

2011 ◽  
Vol 29 (4) ◽  
pp. 493-506 ◽  
Author(s):  
Diego Conti ◽  
Marisa Fernández
Keyword(s):  
G2 Structure

scholarly journals Three-dimensional flux vacua from IIB on co-calibrated G2 orientifolds

2021 ◽  
Vol 81 (5) ◽  
Author(s):  
Maxim Emelin ◽  
Fotis Farakos ◽  
George Tringas
Keyword(s):  
Supersymmetry Breaking ◽  
Three Dimensional ◽  
Closed String ◽  
De Sitter ◽  
Scale Separation ◽  
Moduli Stabilization ◽  
Flux Quantization ◽  
G2 Structure

AbstractWe derive the 3D N = 1 superpotential for the closed string sector of type IIB supergravity on toroidal O5 orientifolds with co-calibrated G2 structure and RR background flux. We find that such compactifications can provide full closed string moduli stabilization on supersymmetric $$\hbox {AdS}_3$$ AdS 3 vacua, and once we include brane-supersymmetry-breaking we also find indication for the existence of classical 3D de Sitter solutions. The latter however are rather difficult to reconcile with the “shape” moduli stabilization and flux quantization. We also discuss the possibility of achieving scale separation in $$\hbox {AdS}_3$$ AdS 3 and $$\hbox {dS}_3$$ dS 3 vacua, but such effects seem to be hindered by the geometric flux quantization.

Sign in / Sign up

Export Citation Format

Share Document