Quantum scalar field theory on equal-angular-momenta Myers-Perry-AdS black holes

Data for the paper "Quantum scalar field theory on equal-angular-momenta Myers-Perry-AdS black holes", arXiv:2412.02814 [hep-th].We study the canonical quantization of a massive scalar field on a five dimensional, rotating black hole space-time. We focus on the case where the space-time is asymptotically anti-de Sitter and the black hole's two angular momentum parameters are equal. In this situation the geometry possesses additional symmetries which simplify both the mode solutions of the scalar field equation and the stress-energy tensor. When the angular momentum of the black hole is sufficiently small that there is no speed-of-light surface, there exists a Killing vector which is time-like in the region exterior to the event horizon. In this case classical superradiance is absent and we construct analogues of the usual Boulware and Hartle-Hawking quantum states for the quantum scalar field. We compute the differences in expectation values of the square of the quantum scalar field operator and the stress-energy tensor operator between these two quantum states.<br>

本数据集对应论文《等角动量迈尔斯-佩里-反德西特（Myers-Perry-AdS）黑洞上的量子标量场理论》，arXiv:2412.02814 [高能物理-理论]。本研究针对五维旋转黑洞时空下的有质量标量场开展正则量子化分析。我们聚焦于时空为渐近反德西特（anti-de Sitter）且黑洞的两个角动量参数相等的情形。在此情形下，该时空几何具备额外对称性，可简化标量场方程的模式解与应力-能量张量（stress-energy tensor）。当黑洞的角动量足够小，以至于不存在类光面时，事件视界外部区域存在一个类时Killing矢量（Killing vector）。在此情形下，经典超辐射不复存在，我们为量子标量场构建了常规Boulware态与Hartle-Hawking态的类比形式。我们计算了这两种量子态下，量子标量场算符平方与应力-能量张量算符的期望值之差。