AI 中文总结
本文研究蜂鸟引力中类RN黑洞的全息描述，通过内外视界热力学及隐藏共形对称性确定对偶CFT数据，发现左右中心荷相等，且洛伦兹破缺关闭时还原为RN结果。
AI 中文摘要
我们研究了蜂鸟引力中类RN黑洞的全息描述，蜂鸟引力是一种具有自发洛伦兹破缺的矢量-张量理论。通过结合外视界和内视界的第一定律，热力学方法得到了对偶二维共形场论（CFT）的右移和左移熵、温度和化学势，从与质量无关的熵乘积确定了中心荷，并通过Cardy公式重现了外视界和内视界的熵。基于带电标量探针的隐藏共形对称性的独立动力学检验证实了这些结果。一个核心结果是右移和左移中心荷相等，$c_R=c_L$，我们将其归因于洛伦兹破缺的自发性质。由于蜂鸟引力的作用量保持微分同胚和局域洛伦兹不变性，且对称性仅由矢量真空期望值破缺，对偶理论中不会出现手征不对称结构，这与$(2+1)$维拓扑质量引力形成鲜明对比。所有CFT数据都平滑地依赖于洛伦兹破缺参数，并在洛伦兹破缺关闭时还原为已知的RN结果。
英文摘要
We study the holographic description of the RN-like black hole in bumblebee gravity, which is a vector-tensor theory with spontaneous Lorentz violation. By combining the first laws of the outer and inner horizons, the thermodynamics method yields the right- and left-moving entropies, temperatures, and chemical potentials of the dual two-dimensional conformal field theory (CFT), determines the central charges from the mass-independent entropy product, and reproduces the outer and inner horizon entropies through the Cardy formula. An independent dynamical test based on the hidden conformal symmetry of a charged scalar probe confirms these results. A central outcome is the equality of the right- and left-moving central charges, $c_R=c_L$, which we trace to the spontaneous character of Lorentz breaking. Because the action of bumblebee gravity preserves diffeomorphism and local Lorentz invariance, and the symmetry is broken only by a vector vacuum expectation value, no chirally asymmetric structure arises in the dual theory, in sharp contrast to topologically massive gravity in $(2+1)$ dimensions. All CFT data depend smoothly on the Lorentz-violating parameter and reduce to the known RN results when Lorentz violation is switched off.
Comments18 pages
