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Holography of charged dilaton black holes in general dimensions

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Abstract

We study several aspects of charged dilaton black holes with planar symmetry in (d + 2)-dimensional spacetime, generalizing the four-dimensional results investigated in arXiv:0911.3586 [hep-th]. We revisit the exact solutions with both zero and finite temperature and discuss the thermodynamics of the near-extremal black holes. We calculate the AC conductivity in the zero-temperature background by solving the corresponding Schrödinger equation and find that the AC conductivity behaves like ω δ, where the exponent δ is determined by the dilaton coupling α and the spacetime dimension parameter d. Moreover, we also study the Gauss-Bonnet corrections to η/s in a five-dimensional finite-temperature background.

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Authors and Affiliations

  1. Department of Physics and Center for Mathematics and Theoretical Physics, National Central University, Chungli, 320, Taiwan

    Chiang-Mei Chen

  2. Center for Quantum Spacetime, Sogang University, Seoul, 121-742, Korea

    Da-Wei Pang

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  1. Chiang-Mei Chen
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Chen, CM., Pang, DW. Holography of charged dilaton black holes in general dimensions. J. High Energ. Phys. 2010, 93 (2010). https://doi.org/10.1007/JHEP06(2010)093

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