Classical and Quantum Gravity ( IF 3.6 ) Pub Date : 2021-09-09 , DOI: 10.1088/1361-6382/ac13b7 James Lucietti , Sergei G Ovchinnikov
We prove that any supersymmetric solution to five-dimensional minimal gauged supergravity with SU(2) symmetry, that is timelike outside an analytic horizon, is a Gutowski–Reall black hole or its near-horizon geometry. The proof combines a delicate near-horizon analysis with the general form for a Khler metric with cohomogeneity-1 SU(2) symmetry. We also prove that any timelike supersymmetric soliton solution to this theory, with SU(2) symmetry and a nut or a complex bolt, has a Khler base with enhanced U(1) SU(2) symmetry, and we exhibit a family of asymptotically Ad solitons for p ⩾ 3 with a bolt in this class.
中文翻译:
具有 SU(2) 对称性的超对称 AdS5 黑洞的唯一性
我们证明了具有SU (2) 对称性的五维最小测量超重力的任何超对称解,即解析视界外的类时,是古托夫斯基-真实黑洞或其近视界几何。该证明将精细的近水平分析与具有同质性 1 SU (2) 对称性的Khler 度量的一般形式相结合。我们还证明了该理论的任何类时超对称孤子解,具有SU (2) 对称性和螺母或复杂螺栓,具有增强U (1) SU (2) 对称性的 Khler 基,并且我们展示了一个渐近族p ⩾ 3 的广告孤子,在这个类中有一个螺栓。