论文标题
广告上的滑动表面电荷$ _3 $
Sliding Surface Charges on AdS$_3$
论文作者
论文摘要
我们考虑在两个Radii $ r_1，r_2 $之间的ADS $ _3 $时空上的Einstein Gravity。我们以任意半径$ r $ $ $ $ $ $ r_1，r_2 $的一组表面电荷来计算表面电荷及其代数。 $ r $依赖性费用在添加适当的边界$ y $ term时可以集成。我们观察到每个边界处的软激发与另一个边界的刺激无关。我们明确构建了与指定的表面电荷之间插值的溶液几何形状。只要在两个边界上测得的质量和角动量相等，插值是平滑的。
We consider Einstein gravity on a patch of AdS$_3$ spacetime between two radii $r_1, r_2$. We compute surface charges and their algebra at an arbitrary radius $r$ such that it reduces to a given set of surface charges at $r_1, r_2$. The $r$-dependent charges become integrable upon addition of an appropriate boundary $Y$-term. We observe that soft excitations at each boundary are independent of those at the other boundary. We explicitly construct solution geometries which interpolate between these radii with specified surface charges. The interpolation is smooth provided that the mass and angular momentum measured at the two boundaries are equal.
