BTZ黑洞的费米子Wig
Fermionic Wigs for BTZ Black Holes
摘要：
我们计算了BTZ黑洞的wig，即具有所有费米子零模的超引力方程的完全非线性解。我们使用“规范完成”的方法从AdS_3 Killing旋量开始，以产生与BH相关的引力子场，我们计算的度规上的反作用。由于费米子毛的反对易性质，这些效应的重复以某种顺序截断。我们说明了一个非常明确的和分析的形式在一个先例文件中提出的技术。我们还计算了质量，角动量和其他电荷及其修正。
英文摘要：
We compute the wig for the BTZ black hole, namely the complete non-linear solution of supergravity equations with all fermionic zero modes. We use a "gauge completion" method starting from AdS_3 Killing spinors to generate the gravitinos fields associated to the BH and we compute the back-reaction on the metric. Due to the anticommutative properties of the fermionic hairs the resummation of these effects truncates at some order. We illustrate the technique proposed in a precedent paper in a very explicit and analytical form. We also compute the mass, the angular momentum and other charges with their corrections.
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