New approach to solution generation using SL(2,R)-duality of a dimensionally reduced space in five-dimensional minimal supergravity and new black holes
New approach to solution generation using SL(2,R)-duality of a dimensionally reduced space in five-dimensional minimal supergravity and new black holes
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DOI：
10.1103/physrevd.84.104009
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发表时间：
2011-06
影响因子：
5
通讯作者：
S. Mizoguchi;Shinya Tomizawa
中科院分区：
文献类型：
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作者：
S. Mizoguchi;Shinya Tomizawa
将五维最小超引力（的玻色子部分）降维为四维，得到了一个无质量的轴子和一个耦合到引力和两个U（1）规范场（其中一个具有Chern-Simons耦合）的介子理论，其场方程具有SL（2，R）-不变性。利用SL（2，R）-对偶，我们提供了一个新的形式化的解决方案生成。作为一个例子，将其应用于Rasheed解，我们得到了五维极小超引力下的旋转Kaluza-Klein黑洞解.我们还表明，解决方案有六个费用：质量，角动量，卡鲁扎-克莱因电/磁收费和电/磁收费的麦克斯韦场，其中四个是相关的约束。
The dimensional reduction of (the bosonic sector of) five-dimensional minimal supergravity to four dimensions leads to a theory with a massless axion and a dilaton coupled to gravity and two U(1) gauge fields (one of which has Chern-Simons coupling), whose field equations have SL(2,R)-invariance. Utilizing this SL(2,R)-duality, we provide a new formalism for solution generation. As an example, applying it to the Rasheed solution, which are known to describe dyonic rotating black holes (from the four-dimensional point of view) of five-dimensional pure gravity, we obtain rotating Kaluza-Klein black hole solutions in five-dimensional minimal supergravity. We also show that the solutions have six charges: mass, angular momentum, Kaluza-Klein electric/magnetic charges and electric/magnetic charges of the Maxwell field, four of which are related by a constraint.