Minimal area submanifolds in AdS × compact
Minimal area submanifolds in AdS × compact
复制标题
AdS × 紧凑中的最小面积子歧管
DOI：
10.1007/jhep04(2014)168
复制
发表时间：
2014
影响因子：
5.4
通讯作者：
A. Karch
中科院分区：
文献类型：
--
作者：
C. Graham;A. Karch
摘要我们描述了渐近双曲空间乘以紧内流形的乘积时空中最小面积子流形的渐近行为。特别是，我们发现，与渐近双曲空间中的最小面积子流形的情况不同，边界子流形的内部部分本身被约束为最小面积子流形。对于全息术的应用，这告诉我们可以添加到全息场论中的允许的“风味膜”是什么。我们还给出了与内部空间中子流形滑移模式相关的算子维数谱的紧凑几何表达式。我们用几个例子来说明我们的结果，包括一些以前没有出现在文献中的例子。
A bstractWe describe the asymptotic behavior of minimal area submanifolds in product spacetimes of an asymptotically hyperbolic space times a compact internal manifold. In particular, we find that unlike the case of a minimal area submanifold just in an asymptotically hyperbolic space, the internal part of the boundary submanifold is constrained to be itself a minimal area submanifold. For applications to holography, this tells us what are the allowed “flavor branes” that can be added to a holographic field theory. We also give a compact geometric expression for the spectrum of operator dimensions associated with the slipping modes of the submanifold in the internal space. We illustrate our results with several examples, including some that haven’t appeared in the literature before.