Particle number and 3D Schrödinger holography
Particle number and 3D Schrödinger holography
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粒子数和 3D 薛定谔全息术
DOI：
10.1007/jhep09(2014)111
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发表时间：
2013
影响因子：
5.4
通讯作者：
B. Rollier
中科院分区：
文献类型：
--
作者：
J. Hartong;B. Rollier
我们定义了一类时空，我们称之为渐近局部薛定谔时空。我们认为这些时空是3维的，在这种情况下，它们也被称为零扭曲的AdS 3。边界条件的制定在一个特定的框架字段分解的度量，其中包含两个部分：一个渐近局部AdS度量和一个产品的类光框架字段本身。渐近地说，无论N是否是渐近Killing矢量，类光标架场都正比于粒子数生成元N。我们考虑三维AlSch时空，它是有质量矢量模型的解。我们表明，有没有普遍的Festhiman-Graham（FG）型展开的最一般的解决方案的运动方程。我们表明，这是密切相关的粒子数所发挥的特殊作用。如果我们用适当选择的约束条件补充运动方程，则可恢复Febriman-Graham型展开式。我们考虑三个例子。1）。大质量向量场处处为零。在这种情况下，解是精确的，因为FG级数终止并且具有N作为零Killing向量。2）。N是Killing向量（但不一定为空）。（3）第三章。N处处为空（但不一定是Killing）。后一种情况包含的第一个例子的解决方案，打破粒子数，无论是在边界上直接或仅在散装。最后，我们对渐近局部薛定谔时空的全息重整化问题的影响进行了评论。
A bstractWe define a class of space-times that we call asymptotically locally Schrödinger space-times. We consider these space-times in 3 dimensions, in which case they are also known as null warped AdS3. The boundary conditions are formulated in terms of a specific frame field decomposition of the metric which contains two parts: an asymptotically locally AdS metric and a product of a lightlike frame field with itself. Asymptotically we say that the lightlike frame field is proportional to the particle number generator N regardless of whether N is an asymptotic Killing vector or not.We consider 3-dimensional AlSch space-times that are solutions of the massive vector model. We show that there is no universal Fefferman-Graham (FG) type expansion for the most general solution to the equations of motion. We show that this is intimately connected with the special role played by particle number. Fefferman-Graham type expansions are recovered if we supplement the equations of motion with suitably chosen constraints. We consider three examples. 1). The massive vector field is null everywhere. The solution in this case is exact as the FG series terminates and has N as a null Killing vector. 2). N is a Killing vector (but not necessarily null). 3). N is null everywhere (but not necessarily Killing). The latter case contains the first examples of solutions that break particle number, either on the boundary directly or only in the bulk. Finally, we comment on the implications for the problem of holographic renormalization for asymptotically locally Schrödinger space-times.
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
影响因子：
5.4
作者：
Donos A
通讯作者：
Donos A