Species and Strings
Species and Strings
复制标题
物种和字符串
DOI：
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发表时间：
2010
期刊：
影响因子：
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通讯作者：
César Gómez
中科院分区：
文献类型：
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作者：
G. Dvali;César Gómez
基于半经典黑洞的一些众所周知的性质，我们证明了弱耦合弦理论可以看作是一个N = 1/g_s^2粒子种类的理论。这个陈述是弦理论对以下事实的实现：在任何相容的D维引力理论中，基本尺度不是普朗克长度l_D，而是物种尺度L_N = N^1/（D-2）l_D。利用这个事实，我们导出了当S > N时，任何相容引力理论中半经典黑洞熵的界，当应用于弦理论时，它为前一个关系提供了额外的证据。这一计算也表明，贝肯斯坦-霍金熵可以被看作是纠缠熵，而不会遇到任何物种之谜。我们证明了物种的计数扩展到M-理论极限。物种尺度的作用现在由11维的普朗克长度扮演，超过这个长度，距离的分辨率在引力上是不可能的。结论是，弦理论是一个物种理论，当物种变得强耦合和解耦时，它会被一个纯引力理论所取代。
Based on well-known properties of semi-classical black holes, we show that weakly-coupled string theory can be viewed as a theory of N = 1/g_s^2 particle species. This statement is a string theoretic realization of the fact that the fundamental scale in any consistent D-dimensional theory of gravity is not the Planck length l_D, but rather the species scale L_N = N^1/(D-2) l_D. Using this fact, we derive the bound on semi-classical black hole entropy in any consistent theory of gravity as S > N, which when applied to string theory provides additional evidence for the former relation. This counting also shows that the Bekenstein-Hawking entropy can be viewed as the entanglement entropy, without encountering any puzzle of species. We demonstrate that the counting of species extends to the M-theory limit. The role of the species scale is now played by the eleven-dimensional Planck length, beyond which resolution of distances is gravitationally-impossible. The conclusion is, that string theory is a theory of species and gets replaced by a pure gravitational theory in the limit when species become strongly coupled and decouple.