AdS x紧空间中的极小面积子流形
Minimal area submanifolds in AdS x compact
摘要：
本文讨论了渐近双曲空间与紧致内流形乘积时空中极小面积子流形的渐近性态。特别地，我们发现，不同于仅在渐近双曲空间中的极小面积子流形的情况，边界子流形的内部部分被约束为自身是极小面积子流形。对于全息术的应用，这告诉我们什么是允许的“味膜”，可以添加到全息场论。我们还给出了与内部空间中子流形的滑动模相关的算子维数谱的一个紧的几何表达式。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结果。
英文摘要：
We 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.
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