标题： 守恒电荷和爱因斯坦-蜂鸟引力中类似BTZ黑洞的渐近对称性 显示英文标题

标题： Conserved charges and asymptotic symmetries of BTZ-like black holes in Einstein-bumblebee gravity

摘要： 使用解相空间方法，我们研究了爱因斯坦-虫洞引力中类似BTZ的黑洞的守恒电荷。我们的研究表明，黑洞质量、角动量和熵受到洛伦兹破坏参数的影响。通过研究AdS/CFT对应关系，我们推导出渐近电荷代数，该代数由两个带有非平凡中心电荷的Virasoro代数组成。通过应用Cardy公式，我们计算了对偶共形场理论的微观熵，该结果与Bekenstein-Hawking熵精确匹配。此外，通过在极端类似BTZ的黑洞的近视界几何中施加Detournay-Smoes-Wutte边界条件，我们得到一个Virasoro-Kac-Moody$\mathrm{U(1)}$代数，表示扭曲共形场理论的对称代数。 显示英文摘要

摘要： Using the solution phase space method, we investigate the conserved charges of BTZ-like black holes in Einstein-bumblebee gravity. Our study shows that the black hole mass, angular momentum and entropy are influenced by the Lorentz-violating parameter. Through the study of the AdS/CFT correspondence, we derive the asymptotic charge algebra, which consists of two copies of the Virasoro algebra with non-trivial central charges. By employing the Cardy formula, we calculate the microscopic entropy of dual conformal field theory, which precisely matches with the Bekenstein-Hawking entropy. Furthermore, by imposing the Detournay-Smoes-Wutte boundary conditions in the near horizon geometry of the extremal BTZ-like black hole, we obtain a Virasoro-Kac-Moody $\mathrm{U(1)}$ algebra, representing the symmetry algebra of a warped conformal field theory.