Kaluza-Klein bundles and manifolds of exceptional holonomy
Kaluza-Klein bundles and manifolds of exceptional holonomy
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异常完整的卡鲁扎-克莱因丛和流形
DOI：
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发表时间：
2002
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通讯作者：
A. Tomasiello
中科院分区：
文献类型：
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作者：
P. Kaste;R. Minasian;M. Petrini;A. Tomasiello
我们展示了如何在RR两种形式的场强的存在下，六维和七维流形上保持超对称性的条件导致某些广义的非线性方程。对于六维空间，弦框架度规是Kahler，其复杂结构是从八元数下降的，如果我们另外假设F（1，1）= 0。超对称生成元是一个规范协变常数旋量。对于7维的弦框架度规是共形的G2度规，如果此外，我们假设的场强服从自对偶约束。这些方程的解分别提升到G2和Spin（7）完整几何。
We show how in the presence of RR two-form field strength the conditions for preserving supersymmetry on six- and seven-dimensional manifolds lead to certain generalizations of monopole equations. For six dimensions the string frame metric is Kahler with the complex structure that descends from the octonions if in addition we assume F(1,1) = 0. The susy generator is a gauge covariantly constant spinor. For seven dimensions the string frame metric is conformal to a G2 metric if in addition we assume the field strength to obey a self-duality constraint. Solutions to these equations lift to geometries of G2 and Spin(7) holonomy respectively.