标题： AdS3 C度量的涨落 显示英文标题

标题： Fluctuations of the AdS3 C-metric

摘要： 我们基于弦理论框架下3D C-度量的三类解，研究了弦附近的标量波动。 作为全息理论的设置，我们关注渐近对称性，通过中心扩张恢复了Virasoro代数，并得到了AdS3的中心电荷。 然后我们通过引入波动，将膜上的引力简化为JT引力模型。 作为膜世界理论的扩展，我们在某些条件下还研究了膜上的高曲率修正。 最后，我们对小l的黑洞解的广义熵进行了展开，并发现主导项来自Weyl异常，这与4维C-度量中的情况不同。 显示英文摘要

摘要： We investigate the dilaton fluctuations near the string based on three classes of solutions of the 3D C-metric within the framework of the string-world holography. As a setup of holography, we focus on the asymptotic symmetry, recover the Virasoro algebra by central extension and get the central charge of the AdS3. Then we reduce the gravity on the brane as a JT gravity model by introducing a fluctuation. As an extension of the braneworld, we also investigate the higher curvature correction to the brane under some conditions. Finally, we make an expansion on generalized entropy of black hole solution with respect to small l and find that the leading term comes from Weyl anomaly, which is different from that in 4-dimensional C-metric.