Sub-AdS scale locality in AdS3/CFT2
Sub-AdS scale locality in AdS3/CFT2
复制标题
AdS3/CFT2 中的子 AdS 规模局部性
DOI：
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发表时间：
2016
影响因子：
5.4
通讯作者：
L. Kabir
中科院分区：
文献类型：
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作者：
Alexandre Belin;Ben Freivogel;R. Jefferson;L. Kabir
我们调查子AdS尺度局部弱耦合玩具模型的AdS 3/CFT 2对应。我们发现，这个简单的模型在低能量和高能量下具有正确的态密度，与AdS 3中的爱因斯坦引力耦合。体相关函数在大N展开式的首阶也有正确的行为，但在1/N阶出现偏差。我们将此解释为理论非定域性的证据，这与无质量高自旋场的无限塔的存在是一致的。最后，我们猜想，任何大的N CFT 2，这是模块不变的，并表现出正确的低能量密度的状态，是对偶的引力理论与亚AdS尺度局部性。
We investigate sub-AdS scale locality in a weakly coupled toy model of the AdS3/CFT2 correspondence. We find that this simple model has the correct density of states at low and high energies to be dual to Einstein gravity coupled to matter in AdS3. The bulk correlation functions also have the correct behavior at leading order in the large N expansion, but deviations appear at order 1/N . We interpret this as evidence for non-locality of the theory, which is consistent with the presence of an infinite tower of massless higher-spin fields. Finally, we conjecture that any large N CFT2 that is both modular invariant, and exhibits the correct low-energy density of states, is dual to a gravitational theory with sub-AdS scale locality.