论文标题
旋转充电广告黑洞的隐藏保形对称性在二次$ f $($ t $)重力
Hidden conformal symmetry of the rotating charged AdS black holes in quadratic $f$($T$) gravity
论文作者
论文摘要
非Xtremal Kerr黑洞被认为是对二维(2D)形成式野外理论(CFTS)的全息偶性。在本文中,我们将全息图扩展到$ f $($ t $)重力的渐近抗DE保姆(ADS)旋转带电的黑洞,其中$ f(t)= t +αt^2 $,其中$α$是一个常数。我们发现,近晶体区域的标量波径向方程意味着存在2D共形对称性。我们注意到,黑洞线元素中方位角角度$ ϕ $的$2π$识别对应于左右温度的共形对称性的自发断裂$ t_ {l} $和$ t_ {r} $。我们表明,为双CFT选择适当的中央电荷,我们可以从微观CFT的微观基础熵中精确地产生宏观的Bekenstein-Hawking熵。这些观察结果表明,在有限温度下,$ f $($ t $)重力的旋转充电的广告是双重的,在有限温度下$ t_ {l} $和$ t_ {r} $,特定价值的质量$ m $,旋转,充电和$ f $ f $ f $ f $($ t $)$,$,$,$,$,$,$ q $,| | | | | | | | | | | | | | | | | | | | | | | | | | | comp.c. comp.c. c。
The nonextremal Kerr black holes have been considered to be holographically dual to two-dimensional (2D) conformal field theories (CFTs). In this paper, we extend the holography to the case of an asymptotically anti--de Sitter (AdS) rotating charged black holes in $f$($T$) gravity, where $f(T) = T + αT^2$, where $α$ is a constant. We find that the scalar wave radial equation at the near-horizon region implies the existence of the 2D conformal symmetries. We note that the $2π$ identification of the azimuthal angle $ϕ$ in the black hole line element, corresponds to a spontaneous breaking of the conformal symmetry by left and right temperatures $T_{L}$ and $T_{R}$, respectively. We show that choosing proper central charges for the dual CFT, we produce exactly the macroscopic Bekenstein-Hawking entropy from the microscopic Cardy entropy for the dual CFT. These observations suggest that the rotating charged AdS black hole in $f$($T$) gravity is dual to a 2D CFT at finite temperatures $T_{L}$ and $T_{R}$ for a specific value of mass $M$, rotational, charge, and $f$($T$) parameters, $Ω$, $Q$, and $|α|$, respectively.