G(2) manifolds, mirror symmetry and geometric engineering

G(2) manifolds, mirror symmetry and geometric engineering
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G(2) 流形、镜像对称和几何工程

DOI:
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发表时间:
2001
期刊:
arXiv: High Energy Physics - Theory
影响因子:
--
通讯作者:
C. Vafa
C. Vafa
中科院分区:
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文献类型:
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作者:
Mina Aganagic;C. Vafa

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我们构造了实现N = 1超对称Ar ~+理论的D_6包膜的Calabi-Yau几何,并研究了相应的几何跃迁.这也产生了新的大N对偶拓扑弦推广拓扑弦/大N陈-西蒙斯对偶。提升到M-理论产生光滑的量子几何过渡没有膜或通量,在G2 holonomy流形的上下文中。此外,我们还构造了一个线性sigma模型实现,它与G2完整性的局部流形超弦传播的世界片理论有关,并得到了这类超对称sigma模型的镜像几何.
We construct Calabi-Yau geometries with wrapped D6 branes which realize N = 1 supersymmetric Ar quiver theories, and study the corresponding geometric transitions. This also yields new large N dualities for topological strings generalizing topological strings/large N Chern-Simons duality. Lifting up to M-theory yields smooth quantum geometric transitions without branes or fluxes, in the context of G 2 holonomy manifolds. In addition we construct a linear sigma model realization which is relevant for the worldsheet theory of superstrings propagating in local manifolds with G2 holonomy, and obtain mirror geometries for this class of supersymmetric sigma models.
DOI: 10.1016/s0550-3213(98)00654-3
发表时间: 1998-12-21
期刊: NUCLEAR PHYSICS B
影响因子: 2.8
作者:
Klebanov, IR;Witten, E
通讯作者: Witten, E
辐射物理化学21-1-2。
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