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Higher derivative corrections to R-charged black holes: boundary counterterms and the mass-charge relation

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Abstract

We carry out the holographic renormalization of Einstein-Maxwell theory with curvature-squared corrections. In particular, we demonstrate how to construct the generalized Gibbons-Hawking surface term needed to ensure a perturbatively well-defined variational principle. This treatment ensures the absence of ghost degrees of freedom at the linearized perturbative order in the higher-derivative corrections. We use the holographically renormalized action to study the thermodynamics of R-charged black holes with higher derivatives and to investigate their mass to charge ratio in the extremal limit. In five dimensions, there seems to be a connection between the sign of the higher derivative couplings required to satisfy the weak gravity conjecture and that violating the shear viscosity to entropy bound. This is in turn related to possible constraints on the central charges of the dual CFT, in particular to the sign of c − a.

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Authors and Affiliations

  1. Centre for Theoretical Cosmology, DAMTP, Centre for Mathematical Sciences, University of Cambridge, Wilberforce Road, Cambridge, CB3 0WA, U.K.

    Sera Cremonini

  2. George and Cynthia Mitchell Institute for Fundamental Physics and Astronomy, Texas A&M University, College Station, TX, 77843-4242, U.S.A.

    Sera Cremonini

  3. Michigan Center for Theoretical Physics, Randall Laboratory of Physics, The University of Michigan, Ann Arbor, MI, 48109-1040, U.S.A.

    James T. Liu & Phillip Szepietowski

Authors
  1. Sera Cremonini
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  2. James T. Liu
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  3. Phillip Szepietowski
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Correspondence to Phillip Szepietowski.

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Cremonini, S., Liu, J.T. & Szepietowski, P. Higher derivative corrections to R-charged black holes: boundary counterterms and the mass-charge relation. J. High Energ. Phys. 2010, 42 (2010). https://doi.org/10.1007/JHEP03(2010)042

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