Holographic renormalization for z = 2 Lifshitz spacetimes from AdS
Holographic renormalization for z = 2 Lifshitz spacetimes from AdS
复制标题
来自 AdS 的 z = 2 Lifshitz 时空的全息重整化
DOI：
10.1088/0264-9381/29/23/235017
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发表时间：
2012
影响因子：
3.5
通讯作者：
B. Rollier
中科院分区：
文献类型：
--
作者：
W. Chemissany;David Geissbühler;J. Hartong;B. Rollier
通过对临界指数z=0的薛定谔时空进行降维，可以得到临界指数z=2的Lifshitz时空。后者的时空是ADS引力的渐近ADS解，耦合到轴子-伸缩子系统，并且可以被提升为IIB型超引力的解。通过对耦合到轴子-伸缩子系统的五维渐近局域AdS时空的全息重整化问题的Scherk-Schwarz降维，这一基本观测被用来执行四维渐近z=2局域Lifshitz时空的全息重整化。这样，我们就可以用五维ADS边界数据来定义和刻画一个四维渐近局部z=2 Lifshitz时空。在这个装置中，我们将讨论Fefferman-Graham展开的四维结构和反作用力的结构，包括尺度反常。我们发现，对于用这种方法得到的渐近局部z=2 Lifshitz时空，存在两个反常，每个反常都有它们自己的非零中心电荷。这两个反常现象都源于轴子-伸缩子系统耦合的ADS引力的五维共形反常的Scherk-Schwarz降维。它们共同构成了一个Horava-Lifshitz类型的作用量，它具有z=2共形引力的非零势项。
Lifshitz spacetimes with the critical exponent z = 2 can be obtained by the dimensional reduction of Schrödinger spacetimes with the critical exponent z = 0. The latter spacetimes are asymptotically AdS solutions of AdS gravity coupled to an axion–dilaton system and can be uplifted to solutions of type IIB supergravity. This basic observation is used to perform holographic renormalization for four-dimensional asymptotically z = 2 locally Lifshitz spacetimes by the Scherk–Schwarz dimensional reduction of the corresponding problem of holographic renormalization for five-dimensional asymptotically locally AdS spacetimes coupled to an axion–dilaton system. We can thus define and characterize a four-dimensional asymptotically locally z = 2 Lifshitz spacetime in terms of five-dimensional AdS boundary data. In this setup the four-dimensional structure of the Fefferman–Graham expansion and the structure of the counterterm action, including the scale anomaly, will be discussed. We find that for asymptotically locally z = 2 Lifshitz spacetimes obtained in this way, there are two anomalies each with their own associated nonzero central charge. Both anomalies follow from the Scherk–Schwarz dimensional reduction of the five-dimensional conformal anomaly of AdS gravity coupled to an axion–dilaton system. Together, they make up an action that is of the Horava–Lifshitz type with a nonzero potential term for z = 2 conformal gravity.
影响因子：
5.4
作者：
Aristomenis Donos;J. Gauntlett
通讯作者：
Aristomenis Donos;J. Gauntlett
影响因子：
5.4
作者：
S. Ross;O. Saremi
通讯作者：
S. Ross;O. Saremi