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Holography and hydrodynamics with weakly broken symmetries

Holography and hydrodynamics with weakly broken symmetries

Title: Holography and hydrodynamics with weakly broken symmetries
Author: Grozdanov, Sašo
Lucas, Andrew
Poovuttikul, Napat   orcid.org/0000-0003-2458-8622
Date: 2019-04-15
Language: English
Scope: 086012
University/Institute: Háskóli Íslands
University of Iceland
School: Verkfræði- og náttúruvísindasvið (HÍ)
School of Engineering and Natural Sciences (UI)
Department: Science Institute (UI)
Raunvísindastofnun (HÍ)
Series: Physical Review D;99(8)
ISSN: 2470-0010
2470-0029 (eISSN)
DOI: 10.1103/PhysRevD.99.086012
Subject: Gauge-gravity dualities; Quantum fluids & solids; Strongly correlated systems; Skammtafræði; Þéttefnisfræði; Straumfræði
URI: https://hdl.handle.net/20.500.11815/1771

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Grozdanov, S., Lucas, A., & Poovuttikul, N. (2019). Holography and hydrodynamics with weakly broken symmetries. ArXiv.org, 99(8), ArXiv.org, Apr 16, 2019.


Hydrodynamics is a theory of long-range excitations controlled by equations of motion that encode the conservation of a set of currents (energy, momentum, charge, etc.) associated with explicitly realized global symmetries. If a system possesses additional weakly broken symmetries, the low-energy hydrodynamic degrees of freedom also couple to a few other "approximately conserved" quantities with parametrically long relaxation times. It is often useful to consider such approximately conserved operators and corresponding new massive modes within the low-energy effective theory, which we refer to as quasihydrodynamics. Examples of quasihydrodynamics are numerous, with the most transparent among them hydrodynamics with weakly broken translational symmetry. Here, we show how a number of other theories, normally not thought of in this context, can also be understood within a broader framework of quasihydrodynamics: in particular, the Müller-Israel-Stewart theory and magnetohydrodynamics coupled to dynamical electric fields. While historical formulations of quasihydrodynamic theories were typically highly phenomenological, here, we develop a holographic formalism to systematically derive such theories from a (microscopic) dual gravitational description. Beyond laying out a general holographic algorithm, we show how the Müller-Israel-Stewart theory can be understood from a dual higher-derivative gravity theory and magnetohydrodynamics from a dual theory with two-form bulk fields. In the latter example, this allows us to unambiguously demonstrate the existence of dynamical photons in the holographic description of magnetohydrodynamics.


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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI.

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