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Notes on R-charged black holes near criticality and gauge theory

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arxiv 0906.5134 v1 pith:53LHCLPP submitted 2009-06-28 hep-th

Sachin Jain , Sudipta Mukherji , Subir Mukhopadhyay This is my paper · ORCID
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keywords gaugeassociatedblackcriticaldimensionsholesmultiplephenomena
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After reviewing the thermodynamics and critical phenomena associated with AdS black holes carrying multiple R-charges in various dimensions, we do a Bragg-Williams like analysis of the systems around its critical points. This leads us to propose an effective potential governing the equilibrium properties of the boundary gauge theory. We also study certain non-equilibrium phenomena associated with these gauge theories. In particular, we compute the conductivities and diffusion coefficients for theories with multiple R-charges in four, three and six dimensions.

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  1. Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent

    gr-qc 2025-05 conditional novelty 4.0 of 10

    For 4D R-charged black holes, the Lyapunov exponent of unstable circular orbits tracks black hole phase transitions, and its discontinuity near the critical point shows a universal critical exponent of 1/2.

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