منابع مشابه
Generalized G2-manifolds and Su(3)-structures
We construct a family of compact 7-dimensional manifolds endowed with a weakly integrable generalized G2-structure with respect to a closed and non-zero 3-form. We relate the previous structures with SU(3)structures in dimension 7. Moreover, we investigate which types of SU(3)structures on a 6-dimensional manifold N give rise to a strongly integrable generalized G2-structure with respect to a n...
متن کاملAnomaly Cancellation On G2-Manifolds
Smooth manifolds of G2 holonomy, used to compactify M -theory to four dimensions, give only abelian gauge groups without charged matter multiplets. But singular G2-manifolds can give abelian or nonabelian gauge groups with chiral fermions. We describe the mechanism of anomaly cancellation in these models, using anomaly inflow from the bulk. We also compare the anomaly predictions to what has be...
متن کاملDeformations in G2 Manifolds
Here we study the deformations of associative submanifolds inside a G2 manifold M 7 with a calibration 3-form φ. A choice of 2-plane field Λ on M (which always exists) splits the tangent bundle of M as a direct sum of a 3-dimensional associate bundle and a complex 4-plane bundle TM = E ⊕ V, and this helps us to relate the deformations to SeibergWitten type equations. Here all the surveyed resul...
متن کاملDuality and Fibrations on G2 Manifolds
We argue that G2 manifolds for M-theory admitting string theory Calabi-Yau duals are fibered by coassociative submanifolds. Dual theories are constructed using the moduli space of M5-brane fibers as target space. Mirror symmetry and various string and M-theory dualities involving G2 manifolds may be incorporated into this framework. To give some examples, we construct two noncompact manifolds w...
متن کاملSome remarks on G2-structures
This article consists of loosely related remarks about the geometry of G2structures on 7-manifolds, some of which are based on unpublished joint work with two other people: F. Reese Harvey and Steven Altschuler. After some preliminary background information about the group G2 and its representation theory, a set of techniques is introduced for calculating the differential invariants of G2-struc...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Anadolu Üniversitesi Bilim Ve Teknoloji Dergisi - B Teorik Bilimler
سال: 2014
ISSN: 2146-0191,2146-0272
DOI: 10.20290/btdb.84457