Instability of charged black holes in anti-de Sitter space

Steven S. Gubser , Indrajit Mitra (Princeton University)

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classification ✦ hep-th

keywords blackanalysisanti-deholeholeslargesitterappears

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We exhibit a tachyonic mode in a linearized analysis of perturbations of large anti-de Sitter Reissner-Nordstrom black holes in four dimensions. In the large black hole limit, and up to a 0.7% discrepancy which is probably round-off error in the numerical analysis, the tachyon appears precisely when the black hole becomes thermodynamically unstable.

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Instability in ${\cal N}=4$ supersymmetric Yang-Mills theory on $S^3$ at finite density
hep-th 2026-03 unverdicted novelty 5.0

Curvature on S^3 decouples dynamical instabilities in R-charge transport from thermodynamic instabilities in N=4 SYM plasma at finite density, with thermodynamic instability persisting under volume fluctuations.