M-theory conifolds.
M-theory conifolds.
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M 理论锥折。
DOI：
10.1103/physrevlett.88.121602
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发表时间：
2001
影响因子：
8.6
通讯作者：
C. Pope
中科院分区：
文献类型：
--
作者：
M. Cvetič;G. Gibbons;H. Lü;C. Pope
G2完整性的七流形通过Kaluza-Klein约化为Calabi-Yau六流形，提供了M理论与弦理论之间的桥梁。我们发现一阶方程的一个新的家庭的G2度量D7，与S3 × S3的主轨道。这些在弱弦耦合下与解析锥相关，与先前与变形锥相关的例子B7相似，允许更深入地研究M理论中的拓扑变化和镜像对称。D7度量的非平凡参数表征了S3螺栓的挤压，其在弱耦合时限于S2。一般来说，D7度量是渐近局部圆锥的，具有无处奇异的圆作用。
Seven manifolds of G2 holonomy provide a bridge between M-theory and string theory, via Kaluza-Klein reduction to Calabi-Yau six manifolds. We find first-order equations for a new family of G2 metrics D7, with S3 x S3 principal orbits. These are related at weak string coupling to the resolved conifold, paralleling earlier examples B7 that are related to the deformed conifold, allowing a deeper study of topology change and mirror symmetry in M-theory. The D7 metrics' nontrivial parameter characterizes the squashing of an S3 bolt, which limits to S2 at weak coupling. In general the D7 metrics are asymptotically locally conical, with a nowhere-singular circle action.