On the Bogomol'nyi bound in Einstein–Maxwell-dilaton gravity
On the Bogomol'nyi bound in Einstein–Maxwell-dilaton gravity
复制标题
论爱因斯坦-麦克斯韦膨胀引力中的 Bogomolnyi 束缚
DOI：
10.1088/0264-9381/28/17/175013
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发表时间：
2010
影响因子：
3.5
通讯作者：
Masato Nozawa
中科院分区：
文献类型：
--
作者：
Masato Nozawa
已经证明，四维爱因斯坦-麦克斯韦-狄龙理论允许任意狄龙耦合常数α的Bogomol'nyi型不等式，并且当且仅当（渐近平坦的）时空允许满足引力子和狄龙-Killing旋量方程的非平凡旋量时，边界饱和。本文重新讨论了这一问题，并指出，除非解是纯电/磁的，或者介子耦合常数是由给出的，否则介子方程不能保证介子场方程，分别对应于Brans-Dicke-麦克斯韦理论和Kaluza-Klein五维真空引力约化。超对称解的系统分类揭示了解可以旋转当且仅当解是双音的或耦合常数由下式给出。这意味着，除了静态截断，理论不能嵌入超引力。从不同的角度探讨了超对称解的物理性质。
It has been shown that the four-dimensional Einstein–Maxwell-dilaton theory allows a Bogomol'nyi-type inequality for an arbitrary dilaton coupling constant α, and that the bound is saturated if and only if the (asymptotically flat) spacetime admits a nontrivial spinor satisfying the gravitino and the dilatino Killing spinor equations. This paper revisits this issue and argues that the dilatino equation fails to ensure the dilaton field equation unless the solution is purely electric/magnetic, or the dilaton coupling constant is given by , corresponding to the Brans–Dicke–Maxwell theory and the Kaluza–Klein reduction of five-dimensional vacuum gravity, respectively. A systematic classification of the supersymmetric solutions reveals that the solution can be rotating if and only if the solution is dyonic or the coupling constant is given by . This implies that the theory with cannot be embedded into supergravity except for the static truncation. Physical properties of supersymmetric solutions are explored from various points of view.
影响因子：
8.6
作者：
G. Gibbons;D. Ida;T. Shiromizu
通讯作者：
T. Shiromizu