Nonextremal black holes in gauged supergravity and the real formulation of special geometry II
Nonextremal black holes in gauged supergravity and the real formulation of special geometry II
复制标题
测量超引力中的非极值黑洞与特殊几何的真实表述 II
DOI：
10.1088/0264-9381/30/6/065003
复制
发表时间：
2012
影响因子：
3.5
通讯作者：
O. Vaughan
中科院分区：
文献类型：
--
作者：
D. Klemm;O. Vaughan
在Klemm and Vaughan（2012 arXiv：1207.2679）中，提出了一种新的寻找D = 4 Fayet-Iliopoulos规范超引力的非极值黑洞解的方法，并构造了包含一个矢量多重态的各种模型的显式解。在这里，我们使用相同的方法来寻找新的非极值黑洞更复杂的模型。我们还提供了一个一般的配方，以构建非BPS极值解决方案的任意prepotential，只要一个无轴子的条件成立。这些是从一组一阶条件得出的，并且通过电荷矢量与恒定场旋转矩阵S的乘积与相应的超对称黑洞相关联。驱动该一阶流的伪超势只不过是在Hamilton-Jacobi形式中的汉密尔顿的特征函数，并且在超对称情况下（当S为正或负单位元时）与Dall'Agata和Gnecchi（2011 J. High Energy Phys.JHEP03（2011）037）提出的超势一致。对于渐近于（磁性）AdS的非极值黑洞，我们计算了来自全息重整化的质量和超代数中出现的质量。后者正确地消失在BPS的情况下，但也为某些值的参数，不对应于任何已知的超对称解决方案的规范超引力。最后，我们证明了所有视界面积的乘积只依赖于电荷和宇宙常数的渐近值。
In Klemm and Vaughan (2012 arXiv:1207.2679), a new prescription for finding nonextremal black hole solutions to , D = 4 Fayet–Iliopoulos gauged supergravity was presented, and explicit solutions of various models containing one vector multiplet were constructed. Here, we use the same method to find new nonextremal black holes to more complicated models. We also provide a general recipe to construct non-BPS extremal solutions for an arbitrary prepotential, as long as an axion-free condition holds. These follow from a set of first-order conditions, and are related to the corresponding supersymmetric black holes by a multiplication of the charge vector with a constant field rotation matrix S. The fake superpotential driving this first-order flow is nothing else than Hamilton’s characteristic function in a Hamilton–Jacobi formalism, and coincides in the supersymmetric case (when S is plus or minus the identity) with the superpotential proposed by Dall’Agata and Gnecchi (2011 J. High Energy Phys.JHEP03(2011)037). For the nonextremal black holes that asymptote to (magnetic) AdS, we compute both the mass coming from holographic renormalization and the one appearing in the superalgebra. The latter correctly vanishes in the BPS case, but also for certain values of the parameters that do not correspond to any known supersymmetric solution of gauged supergravity. We finally show that the product of all horizon areas depends only on the charges and the asymptotic value of the cosmological constant.
洛伦兹弯曲空间和全息术中的超对称性
影响因子：
2.4
作者：
Cassani D
通讯作者：
Cassani D