Abstract
We derive an effective action for charged plasmas with an anomalous (abelian) global current charge current using holography. The holographic description is captured by the dynamics of an Einstein-Maxwell-Chern-Simons theory in an asymptotically AdS spacetime. The ’t Hooft anomaly contribution, which is encoded in the Chern-Simons term, contributes at the Gaussian order in the effective action only in the momentum diffusion sector, where it leads to chiral shear waves. However, as we demonstrate, beyond the Gaussian order, there is non-trivial imprint of the parity-violating anomaly term in sound and charge diffusion dynamics as well.
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Acknowledgments
It is a pleasure to thank R. Loganayagam for insightful discussions. We would also like to thank Felix Haehl for comments on a draft. MR was supported by U.S. Department of Energy grant DE-SC0009999 and funds from the University of California. JV was supported by U.S. Department of Energy grant DE-SC0020360 under the HEP-QIS QuantISED program. SZ was supported by the UC Education Abroad Program during her visit to UC Davis.
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Rangamani, M., Virrueta, J. & Zhou, S. Anomalous hydrodynamics effective actions from holography. J. High Energ. Phys. 2023, 44 (2023). https://doi.org/10.1007/JHEP11(2023)044
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DOI: https://doi.org/10.1007/JHEP11(2023)044