发表机构
Universidad de Concepción; UNESP-Universidade Estadual Paulista（康塞普西翁大学; 圣保罗州立大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
该研究构造了四维爱因斯坦-麦克斯韦理论的新精确旋转解，揭示正则黑洞等几何的边界-边界对偶，为全息理论提供了关键证据。
AI 中文摘要
我们构造了四维爱因斯坦-麦克斯韦理论带负宇宙学常数的一类新的精确旋转解，描述正则旋转AdS黑洞与光滑孤子。这些几何结构无曲率奇点，且存在无闭合类时曲线的参数空间开放区域，其超对称极限对应因果正则的无视界构型。这类解的显著特征是存在至少两个余维共形边界：第一个是闵可夫斯基时空，其中能量动量张量的期望值描述了有限大小的强耦合共形等离子体旋转盘，其边缘以光速旋转；第二个边界是旋转黑洞几何，其能量动量张量为零但 Cotton 张量非零，定义了一种全息理论，其中对偶引力子在边界处被固定。我们证明，经适当解析延拓并将全息能量尺度与旋转流体的洛伦兹因子对应后，对偶引力子相关的能量密度恰好重现等离子体的能量密度，为边界-边界对偶提供了证据。实际上，电磁对偶在支撑引力子的边界与支撑其对偶的边界之间交换电流，从而在这些边界理论间提供了广义镜像对称。因此，洛伦兹因子被认定为重整化尺度的电磁对偶。在适当极限下，这些解退化为平面Reissner-Nordström-AdS黑洞，而超对称孤子无正则静态极限。
英文摘要
We construct a new family of exact rotating solutions of four-dimensional Einstein--Maxwell theory with negative cosmological constant describing regular spinning AdS black holes and smooth solitons. The geometries are free of curvature singularities and admit open regions of parameter space without closed timelike curves, while supersymmetric limits correspond to causally regular horizonless configurations. A remarkable feature of these solutions is the existence of at least two codimension-one conformal boundaries. The first is Minkowski spacetime, where the expectation value of the energy--momentum tensor describes a finite spinning disk of strongly coupled conformal plasma whose edge rotates at the speed of light. The second boundary is a rotating black-hole geometry with vanishing energy--momentum tensor but non-vanishing Cotton tensor, defining a holographic theory in which the dual graviton is fixed at the boundary. We show that the energy density associated with the dual graviton exactly reproduces that of the plasma after a suitable analytic continuation and the identification of the holographic energy scale with the Lorentz factor of the rotating fluid, providing evidence for a boundary-boundary duality. Indeed, electromagnetic duality exchanges the electric and magnetic currents between the boundary supporting the graviton and that supporting the dual graviton thus providing a generalized mirror symmetry between these boundary theories. Hence, the Lorentz factor is identified with the electromagnetic dual of the renormalization scale. In an appropriate limit, the solutions reduce to the planar Reissner--Nordström--AdS black hole, whereas the supersymmetric solitons have no regular static limit.
Comments15 pages, starting on September 8, lectures discussing this paper will be held at SAIFR-ICTP/IFT-UNESP in São Paulo. See the SAIFR website for further information
