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ASYMPTOTICALLY ANTI DE SITTER SPACETIMES IN THREE DIMENSIONS

机译:三维渐近抗Deatter Spacetims

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摘要

We revisit the asymptotically Anti de Sitter spacetimes in three dimensions. Using the conformal-completion technique, we formulate the boundary conditions in a covariant fashion and construct the global charges associated with the asymptotic symmetries. The charges so constructed are conserved for the asymptotic Killing vectors fields but are not conserved for the asymptotic conformal Killing vector fields. The quantity integrated to obtain the global charge is interpreted as the Brown-York boundary stress-energy tensor and it is found not to be traceless. The trace is interpreted as the Trace Anomaly and it turns out to be the same as the Brown-Henneaux central charge.
机译:我们在三维中重新审视渐近反德·斯特特偶像。使用保形完井技术,我们以协调性方式制定边界条件,并构建与渐近对称相关的全局电荷。如此构建的电荷用于渐近杀死载体场,但不保守渐近保留杀死捕捞量田。综合纳入全球费用的数量被解释为棕1克边界应力 - 能量张量,并且发现它不无意无愧。该迹线被解释为痕量异常,结果与棕色Henneaux中心电荷相同。

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