منابع مشابه
Anomaly 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 کاملM-Theory on Manifolds with G2 Holonomy
We study M-theory on G2 holonomy spaces that are constructed by dividing a seven-torus by some discrete symmetry group. We classify possible group elements that may be used in this construction and use them to find a set of possible orbifold groups that lead to co-dimension four singularities. We describe how to blow up such singularities, and then derive the moduli Kähler potential for M-theor...
متن کاملM-theory on manifolds of G2 homology: . . .
In 1981, covariantly constant spinors were introduced into Kaluza-Klein theory as a way of counting the number of supersymmetries surviving compactification. These are related to the holonomy group of the compactifying manifold. The first non-trivial example was provided in 1982 by D = 11 supergravity on the squashed S 7 , whose G 2 holonomy yields N = 1 in D = 4. In 1983 another example was pr...
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ژورنال
عنوان ژورنال: Journal of Geometry and Physics
سال: 2017
ISSN: 0393-0440
DOI: 10.1016/j.geomphys.2017.01.007