Abstract
We discuss analytic solutions describing magnetically charged black branes in d dimensional AdS space. Focusing on d = 5, we study the response of the brane to an external short lived electric field. We argue that when the theory possesses an ’t Hooft anomaly then at sufficiently low temperature a long lived oscillatory current will be observed long after the electric field has been turned off. We demonstrate this “anomalous resonance” effect via a numerical study.
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Acknowledgments
We would like to thank M. Ammon, O. Bergman, A. Buchel, S. Cremonini, J. Gauntlett, M. Haack, G. Lifschytz and C. Rosen for useful comments and feedback. We would also like to thank the organizers and participants of the KITP program “The many faces of relativistic fluid dynamics” and of the NORDITA program “Hydrodynamics at all scales” where this work was finalized. The authors are suppored in part by a binational science foundation grant and by the National Science Foundation under Grants No. NSF PHY-1748958 and PHY-2309135.
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Meiring, B., Shyovitz, I., Waeber, S. et al. Multiply charged magnetic black branes. J. High Energ. Phys. 2024, 196 (2024). https://doi.org/10.1007/JHEP06(2024)196
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DOI: https://doi.org/10.1007/JHEP06(2024)196