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arXiv 0811.1741hep-thgr-qc
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AdS2/CFT1对应中的霍金辐射和量子Anomaly

Hawking Radiation and Quantum Anomaly in AdS2/CFT1 Correspondence

Takeshi Morita

摘要:

为了更好地理解霍金辐射在AdS/CFT对应中的边界描述,我们研究了AdS $_2$空间中的迹反常方法.在这种方法中,霍金辐射是由体中能量动量张量的迹反常导出的。我们发现CFT $_1$中的能量动量张量和复合算子之间的对应关系,并根据该复合算子理解能量动量张量的异常性质。利用这种对应关系,我们从边界描述中再现了霍金辐射。此外,我们发现高自旋电流的散装和复合运营商在边界之间的对应关系。

英文摘要:

In order to understand a boundary description of Hawking radiation in the AdS/CFT correspondence, we investigate the trace anomaly method in AdS$_2$ space. In this method, Hawking radiation is derived from the trace anomaly of the energy-momentum tensor in the bulk. We find a correspondence between the energy-momentum tensor and a composite operator in CFT$_1$ and understand the anomalous properties of the energy-momentum tensor in terms of this composite operator. By using this correspondence, we reproduce Hawking radiation from the boundary description. In addition, we find a correspondence between higher-spin currents in the bulk and composite operators in the boundary.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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