منابع مشابه
Gauge Theory at Large N and New G2 Holonomy Metrics
We find a one-parameter family of new G2 holonomy metrics and demonstrate that it can be extended to a two-parameter family. These metrics play an important role as the supergravity dual of the large N limit of four dimensional supersymmetric Yang-Mills. We show that these G2 holonomy metrics describe the M theory lift of the supergravity solution describing a collection of D6-branes wrapping t...
متن کاملOn 2-Dimensional Holonomy
We define the fundamental strict categorical group P2(M, ∗) of a based smooth manifold (M, ∗) and construct categorical holonomies, being smooth morphisms P2(M, ∗) → C(G), where C(G) is a Lie categorical group, by using a notion of categorical connections, which we define. As a result, we are able to define Wilson spheres in this context.
متن کاملThe Spin Holonomy Group in General Relativity
It has recently been shown by Goldberg et al that the holonomy group of the chiral spin-connection is preserved under time evolution in vacuum general relativity. Here, the underlying reason for the timeindependence of the holonomy group is traced to the self-duality of the curvature 2-form for an Einstein space. This observation reveals that the holonomy group is time-independent not only in v...
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From an important construction of Calabi (see [Ca], [Wo]), it follows that the compact Riemannian flat manifolds with first Betti number zero are the building blocks for all compact Riemannian flat manifolds. It is, therefore, of interest to construct families of such objects. These are often called primitive manifolds. Hantzsche and Wendt (1935) constructed the only existing 3-dimensional comp...
متن کاملStable Bundles and Holonomy Group Schemes of Varieties
We introduce a new category of lf-graded vector bundles on a smooth projective variety X over an algebraically closed field k. This category includes in particular all stable bundles. We then show that the category of strongly lf-graded bundles is a neutral Tannaka category. We study the associated GrothendieckTannaka group scheme. This enables us to prove an analogue of the classical Narasimha...
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ژورنال
عنوان ژورنال: International Journal of Geometric Methods in Modern Physics
سال: 2004
ISSN: 0219-8878,1793-6977
DOI: 10.1142/s0219887804000186