论文标题
近乎超级友谊双重性
Near-Extremal Freudenthal Duality
论文作者
论文摘要
到目前为止，弗洛伊德二二元性是电磁（E.M.）电荷的独特非线性图，它是Maxwell-Einstein-Scalar理论在四个时空维度中极端黑洞的对称性的对称性。在本文中，我们呈现了对近超级黑孔的辉煌双重性的一致概括，其熵是在尺寸还原后在千篇一律的Teitelboim重力中获得的。我们称这种概括近乎鲜明的双重性。这样的双重性，当它们的E.M.费用是通过佛罗德截止性转换有关的。通过利用笛卡尔的符号规则以及Sturm的定理，我们表明我们对近超级友谊双重性的表述是分析性和独特的。
Freudenthal duality is, as of now, the unique non-linear map on electric-magnetic (e.m.) charges which is a symmetry of the Bekenstein-Hawking entropy of extremal black holes in Maxwell-Einstein-scalar theories in four space-time dimensions. In this paper, we present a consistent generalization of Freudenthal duality to near-extremal black holes, whose entropy is obtained within a Jackiw-Teitelboim gravity upon dimensional reduction. We name such a generalization near-extremal Freudenthal duality. Upon such a duality, two near-extremal black holes with two different (and both small) temperatures have the same entropy when their e.m. charges are related by a Freudenthal transformation. By exploiting Descartes' rule of signs as well as Sturm's Theorem, we show that our formulation of the near-extremal Freudenthal duality is analytical and unique.
