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arXiv 0810.1528hep-th
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极值和非极值黑洞的一阶流方程

First-order flow equations for extremal and non-extremal black holes

Jan Perz, Paul Smyth, Thomas Van Riet, Bert Vercnocke

摘要:

我们推导出一个一般形式的一阶流方程的极值和非极值,静态,球对称黑洞的理论与无质量标量和矢量耦合到重力。通过重写的行动作为一个平方和一个香格里拉Bogomol'nyi,我们确定的功能管理的一阶梯度流,“广义超势”,这减少到“假超势”的非超对称极端黑洞和超对称黑洞的中心荷。理论的标量流形是一个对称的空间后,类时降维,我们提出的条件存在的广义超势。我们提供的例子来说明在四个和五个时空维度的形式主义。

英文摘要:

We derive a general form of first-order flow equations for extremal and non-extremal, static, spherically symmetric black holes in theories with massless scalars and vectors coupled to gravity. By rewriting the action as a sum of squares a la Bogomol'nyi, we identify the function governing the first-order gradient flow, the `generalised superpotential', which reduces to the `fake superpotential' for non-supersymmetric extremal black holes and to the central charge for supersymmetric black holes. For theories whose scalar manifold is a symmetric space after a timelike dimensional reduction, we present the condition for the existence of a generalised superpotential. We provide examples to illustrate the formalism in four and five spacetime dimensions.

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