Special geometry of Euclidean supersymmetry III: the local r-map, instantons and black holes
Special geometry of Euclidean supersymmetry III: the local r-map, instantons and black holes
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欧几里得超对称的特殊几何 III：局域 r 映射、瞬子和黑洞
DOI：
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发表时间：
2009
期刊：
影响因子：
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通讯作者：
T. Mohaupt
中科院分区：
文献类型：
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作者：
V. Cortés;T. Mohaupt
我们定义并研究了射影特殊的仿Kahler流形，证明了它们在简化与超引力有关的五维向量多重子时表现为目标流形。关于时间和空间的降维是使用复数记法以统一的方式进行的。我们解释了我们的形式主义与文献中使用的其他特殊几何的形式主义的关系。在论文的第二部分，我们研究了黑洞的瞬时子解及其维度提升。我们证明了在将轴子对偶化为张量场后定义的瞬子作用量与相应黑洞的ADM质量是一致的。讨论了Wick旋转作用量、Hodge对偶化作用量和轴子解析延拓作用量之间的关系。
We define and study projective special para-Kahler manifolds and show that they appear as target manifolds when reducing five-dimensional vector multiplets coupled to supergravity with respect to time. The dimensional reductions with respect to time and space are carried out in a uniform way using an -complex notation. We explain the relation of our formalism to other formalisms of special geometry used in the literature. In the second part of the paper we investigate instanton solutions and their dimensional lifting to black holes. We show that the instanton action, which can be defined after dualising axions into tensor fields, agrees with the ADM mass of the corresponding black hole. The relation between actions via Wick rotation, Hodge dualisation and analytic continuation of axions is discussed.