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The Simple Raissner-Nordström Case

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Condensed Matter Applications of AdS/CFT

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Abstract

In the previous chapters we have learned that the 4-dimensional Einstein-Hilbert-Maxwell model on a Reissner-Nordström AdS black hole is the most simple holographic dual of a three-dimensional strongly coupled system with a non-zero charge density.

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Notes

  1. 1.

    Nevertheless this is not a general feature (e.g. it is not true for the holographic superconductor) and we prefer to keep \(\gamma \) explicit.

  2. 2.

    As a general feature, the correlators satisfy Ward identities related to the symmetries of the model. In a generating functional framework, such identities (as the correlators themselves) are obtained by appropriate functional derivatives of the generating functional itself and of the expectation values of the various quantities in the theory. Counter-terms (either finite or not) in the QFT action which respect the symmetries of the original theory affect both the Ward identities and the correlators in a consistent way.

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Authors and Affiliations

  1. Mathematical Physics of Fundamental Interactions, Université Libre de Bruxelles, Brussels, Belgium

    Andrea Amoretti

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  1. Andrea Amoretti
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Correspondence to Andrea Amoretti .

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Amoretti, A. (2017). The Simple Raissner-Nordström Case. In: Condensed Matter Applications of AdS/CFT. Springer Theses. Springer, Cham. https://doi.org/10.1007/978-3-319-61875-3_7

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