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We develop a method to study coupled dynamics of gauge-invariant variables, constructed out of metric and gauge field fluctuations on the background of a AdS$_5$ Reissner-Nordstr\"om black brane.
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G. Policastro, D. T. Son and A. O. Starinets, “From AdS / CFT correspondence to hydrodynamics,” JHEP 0209
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G. Policastro, D. T. Son and A. O. Starinets, “From AdS / CFT correspondence to hydrodynamics. 2. Sound waves,” JHEP 0212
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D. T. Son and A. O. Starinets, “Hydrodynamics of r-charged black holes,” JHEP 0603
2006
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K. Maeda, M. Natsuume and T. Okamura, “Viscosity of gauge theory plasma with a chemical potential from AdS/CFT,” Phys. Rev. D 73
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2015
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D. A. Roberts, D. Stanford and L. Susskind, “Localized shocks,” JHEP 1503
2015
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S. H. Shenker and D. Stanford, “Stringy effects in scrambling,” JHEP 1505
2015
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J. Maldacena, S. H. Shenker and D. Stanford, “A bound on chaos,” JHEP 1608
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2017
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I. Kukuljan, S. Grozdanov and T. Prosen, “Weak Quantum Chaos,” Phys. Rev. B 96
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Y. Ling, P. Liu and J. P. Wu, “Holographic Butterfly Effect at Quantum Critical Points,” JHEP 1710
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2018
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B. Withers, “Short-lived modes from hydrodynamic dispersion relations,” JHEP 06
2018
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F. M. Haehl and M. Rozali, “Effective Field Theory for Chaotic CFTs,” JHEP 1810
2018
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M. Baggioli and A. Buchel, “Holographic Viscoelastic Hydrodynamics,” JHEP 03
2019
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