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arXiv 1105.6337hep-thgr-qc
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AdS/CFT超越么正性界

AdS/CFT beyond the unitarity bound

Tomas Andrade, Donald Marolf

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24 pages
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摘要：

已知具有Breitenlohner-Freedman窗口$-d^2/4 \le m^2 < -d^2/4 +1$中的平方质量的AdS ${}_{d+1}$中的标量（以AdS标度$\ell$设置为1的单位）享有各种边界条件。对于较大的质量$m^2 > -d^2/4 +1$，在可能的对偶CFTs的么正性界限表明，这种一般的边界条件应导致鬼。我们发现，这并不总是这样的情况下，保形不变的边界条件在庞加莱广告，天真地违反幺正性界限，系统是一般的幽灵免费的。由于存在意想不到的纯规范模式和相关的红外发散，避免了与幺正性边界的冲突。当通过变形这些边界条件或考虑全局AdS来去除IR发散时，出现了预期的鬼。

英文摘要：

Scalars in AdS${}_{d+1}$ with squared masses in the Breitenlohner-Freedman window $-d^2/4 \le m^2 < -d^2/4 +1$ (in units with the AdS scale $\ell$ set to 1) are known to enjoy a variety of boundary conditions. For larger masses $m^2 > -d^2/4 +1$, unitarity bounds in possible dual CFTs suggest that such general boundary conditions should lead to ghosts. We show that this is not always the case as, for conformally-invariant boundary conditions in Poincaré AdS that would naively violate unitarity bounds, the system is generically ghost-free. Conflicts with unitarity bounds are avoided due to the presence of unexpected pure gauge modes and an associated infrared divergence. The expected ghosts appear when the IR divergence is removed either by deforming these boundary conditions or considering global AdS.

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