论文标题
超对称黑洞，具有五个维度的单个轴向对称性
Supersymmetric black holes with a single axial symmetry in five dimensions
论文作者
论文摘要
我们提出了一个渐近平坦，超对称黑洞和五维最小超级超重性的孤子溶液的分类，该溶液允许单个轴向对称性与超对称性“通勤”。这包括五维黑洞解决方案的第一个示例，其正好是一个轴向杀伤场，它们在地平线上和外部都光滑。这些溶液具有与先前研究的两轴对称性类似的属性，尤其是它们具有长臂轴的基础，谐波函数必须具有多中心类型，中心与对应于地平线的连接组件或轴向对称性的固定点相对应。我们发现了一个大型的黑洞和孤子空间空间，带有不可扣除的2个周期，地平线拓扑为$ s^3 $，$ s^1 \ times s^2 $，镜头空间$ l（p，1）$。
We present a classification of asymptotically flat, supersymmetric black hole and soliton solutions of five-dimensional minimal supergravity that admit a single axial symmetry which `commutes' with the supersymmetry. This includes the first examples of five-dimensional black hole solutions with exactly one axial Killing field that are smooth on and outside the horizon. The solutions have similar properties to the previously studied class with biaxial symmetry, in particular, they have a Gibbons-Hawking base and the harmonic functions must be of multi-centred type with the centres corresponding to the connected components of the horizon or fixed points of the axial symmetry. We find a large moduli space of black hole and soliton spacetimes with non-contractible 2-cycles and the horizon topologies are $S^3$, $S^1\times S^2$ and lens spaces $L(p,1)$.
