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An eight-dimensional Taub-NUT-like hyper-Kähler metric in harmonic superspace formalism
Journal of Mathematical Physics ( IF 1.3 ) Pub Date : 2020-11-01 , DOI: 10.1063/5.0022640
A. V. Smilga 1
Affiliation  

Using the harmonic superspace formalism, we find the metric of a certain 8-dimensional manifold. This manifold is not compact and represents an 8-dimensional generalization of the Taub-NUT manifold. Our conjecture is that the metric that we derived is equivalent to the known metric possessing a discrete $Z_2$ isometry, which may be obtained from the metric describing the dynamics of four BPS monopoles by Hamiltonian reduction.

中文翻译:

谐波超空间形式主义中的八维 Taub-NUT 类超 Kähler 度量

使用调和超空间形式,我们找到某个 8 维流形的度量。这个流形并不紧凑,代表了 Taub-NUT 流形的 8 维泛化。我们的猜想是,我们推导出的度量等价于具有离散 $Z_2$ 等距的已知度量,这可以从描述四个 BPS 单极子动力学的度量中获得,通过哈密顿量减少。
更新日期:2020-11-01
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