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Title: Generalized global symmetries in states with dynamical defects: The case of the transverse sound in field theory and holography

Journal Article · · Physical Review. D.
 [1];  [2]
  1. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
  2. Leiden Univ. (Netherlands); Univ. of Iceland, Reykjavik (Iceland)

In this work, we show how states with conserved numbers of dynamical defects (strings, domain walls, etc.) can be understood as possessing generalized global symmetries even when the microscopic origins of these symmetries are unknown. Using this philosophy, we build an effective theory of a 2 + 1 -dimensional fluid state with two perpendicular sets of immersed elastic line defects. When the number of defects is independently conserved in each set, then the state possesses two one-form symmetries. Normally, such viscoelastic states are described as fluids coupled to Goldstone bosons associated with spontaneous breaking of translational symmetry caused by the underlying microscopic structure—the principle feature of which is a transverse sound mode. At the linear, nondissipative level, we verify that our theory, based entirely on symmetry principles, is equivalent to a viscoelastic theory. We then build a simple holographic dual of such a state containing dynamical gravity and two two-form gauge fields, and use it to study its hydrodynamic and higher-energy spectral properties characterized by nonhydrodynamic, gapped modes. Based on the holographic analysis of transverse two-point functions, we study consistency between low-energy predictions of the bulk theory and the effective boundary theory. Various new features of the holographic dictionary are explained in theories with higher-form symmetries, such as the mixed-boundary-condition modification of the quasinormal mode prescription that depends on the running coupling of the boundary double-trace deformations. Furthermore, we examine details of low- and high-energy parts of the spectrum that depend on temperature, line defect densities and the renormalization group scale.

Research Organization:
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
Sponsoring Organization:
USDOE
Grant/Contract Number:
sc0011090
OSTI ID:
1436898
Alternate ID(s):
OSTI ID: 1498825
Journal Information:
Physical Review. D., Vol. 97, Issue 10; ISSN 2470-0010
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

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Momentum transport in strongly coupled anisotropic plasmas in the presence of strong magnetic fields text January 2016
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Holographic sliding stripes text January 2016
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Holographic constraints on Bjorken hydrodynamics at finite coupling text January 2017
Pinning of longitudinal phonons in holographic spontaneous helices text January 2017
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Cited By (16)

Holographic viscoelastic hydrodynamics journal March 2019
Elasticity bounds from effective field theory journal September 2019
Impact of irrelevant deformations on thermodynamics and transport in holographic quantum critical states journal October 2019
Linear viscoelastic dynamics in holography journal November 2019
Holography and hydrodynamics with weakly broken symmetries journal April 2019
Effective field theory of force-free electrodynamics journal May 2019
Impact of irrelevant deformations on thermodynamics and transport in holographic quantum critical states journalarticle January 2019
Effective Field Theory of Force-Free Electrodynamics text January 2018
Holographic axion model: A simple gravitational tool for quantum matter journal June 2021
Generalized symmetries and 2-groups via electromagnetic duality inAdS/CFT journal January 2021
Holography and hydrodynamics with weakly broken symmetries journal April 2019
Effective field theory of force-free electrodynamics journal May 2019
Deformations, relaxation, and broken symmetries in liquids, solids, and glasses: A unified topological field theory journal February 2022
Impact of irrelevant deformations on thermodynamics and transport in holographic quantum critical states journalarticle January 2019
Effective description of non-equilibrium currents in cold magnetized plasma journal February 2022
2-group global symmetries, hydrodynamics and holography preprint January 2020

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