论文标题
Kerr-Taub-Nut及其他地区的CFT双重
CFT duals of Kerr-Taub-NUT and beyond
论文作者
论文摘要
详细分析了四维kerr-taub-nut黑洞与中央电荷的热二维CFT $ c_l = C_R = 12 J_0 $的二维CFT进行了详细分析,从而推广了最近在软发方法中为Kerr提供的参数。隐藏的形式对称性以$ vir_l \ times vir_r $ diffemormormormism的形式实现,这些形式在黑洞地平线上非琐碎。对于双CFT的温度和中心电荷,得出了半古典公式。假设CARDY公式的适用性,这些CFT数量精确地重现了宏观的Bekenstein-Hawking地区法律。讨论了各种进一步的概括,包括四个维度的黑洞的完整家族。
The duality relating the four-dimensional Kerr-Taub-NUT black hole to a thermal two-dimensional CFT with central charges $c_L=c_R=12 J_0$ is analyzed in detail, generalizing an argument given recently for Kerr within the soft-hair approach. The hidden conformal symmetry is realized in the form of $Vir_L \times Vir_R$ diffeomorphisms which act non-trivially on the black hole horizon. Semiclassical formulae are derived for the temperature and central charges of the dual CFT. Assuming the applicability of the Cardy formula, these CFT quantities precisely reproduce the macroscopic Bekenstein-Hawking area law. Various further generalizations including the complete family of black holes in four dimensions are discussed.