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Holographic KMS relations at finite density

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arxiv 2011.08173 v2 pith:AZWENOXF submitted 2020-11-16 hep-th

R. Loganayagam , Krishnendu Ray , Shivam K. Sharma , Akhil Sivakumar This is my paper · ORCID
classification hep-th
keywords finiteprescriptionarxivchargeddiracholographicrelationsschwinger-keldysh
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We extend the holographic Schwinger-Keldysh prescription introduced in arXiv:1812.08785 to charged black branes, with a view towards studying Hawking radiation in these backgrounds. Equivalently we study real-time fluctuations of the dual CFT held at finite temperature and finite chemical potential. We check our prescription using charged Dirac probe fields. We solve the Dirac equation in a boundary derivative expansion extending the results in arXiv:2011.07039. The Schwinger-Keldysh correlators derived using this prescription automatically satisfy the appropriate KMS relations with Fermi-Dirac factors.

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