Quasi-normal modes of dyonic black holes and magneto-hydrodynamics

Jeong, Hyun-Sik; Kim, Keun‐Young; Sun, Ya-Wen

doi:10.1007/jhep07(2022)065

Cited by 18 publications

(8 citation statements)

References 179 publications

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“…(2.41) The fact that the dispersion relation of the subdiffusive mode is not well defined at ρ → 0 is just a manifestation of the non-commutativity of limits. Note that the gapless modes in (2.41) appear also in the case of external gauge fields [64]. Interestingly, the dispersion of the diffusive mode in (2.41) is exactly the same (at this order in k) as the one in the case of external gauge fields (see eq.…”

Section: Jhep02(2023)012mentioning

confidence: 66%

“…In the case of standard Dirichlet b.c.s., the dual field theory is a finite temperature CFT with a conserved U(1) current J µ in presence of an external, and not dynamical, gauge field A µ (and therefore an external magnetic field B as well). This scenario has been studied in several works [61][62][63][64][65] and the complete consistency between the holographic picture and the dual hydrodynamic framework has been recently verified in [64]. This same system has also been studied in presence of explicit and/or spontaneous breaking of translations [66][67][68][69][70][71][72] and anomalies [73].…”

Section: Jhep02(2023)012mentioning

confidence: 90%

“…Note that the fluctuations of the electric field (δE i ) and magnetic field (δB) appear explicitly in this case as a direct manifestation of the dynamical, rather than external, gauge field. Indeed, this is one of the major differences with the hydrodynamics with external gauge fields considered for example in [61][62][63][64].…”

Section: Jhep02(2023)012mentioning

confidence: 97%

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Holography and magnetohydrodynamics with dynamical gauge fields

Ahn

Baggioli

Huh

et al. 2023

J. High Energ. Phys.

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Within the framework of holography, the Einstein-Maxwell action with Dirichlet boundary conditions corresponds to a dual conformal field theory in presence of an external gauge field. Nevertheless, in many real-world applications, e.g., magnetohydrodynamics, plasma physics, superconductors, etc. dynamical gauge fields and Coulomb interactions are fundamental. In this work, we consider bottom-up holographic models at finite magnetic field and (free) charge density in presence of dynamical boundary gauge fields which are introduced using mixed boundary conditions. We numerically study the spectrum of the lowest quasi-normal modes and successfully compare the obtained results to magnetohydrodynamics theory in 2 + 1 dimensions. Surprisingly, as far as the electromagnetic coupling is small enough, we find perfect agreement even in the large magnetic field limit. Our results prove that a holographic description of magnetohydrodynamics does not necessarily need higher-form bulk fields but can be consistently derived using mixed boundary conditions for standard gauge fields.

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Section: Jhep02(2023)012mentioning

confidence: 66%

Section: Jhep02(2023)012mentioning

confidence: 90%

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Holography and magnetohydrodynamics with dynamical gauge fields

Ahn

Baggioli

Huh

et al. 2023

J. High Energ. Phys.

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“…Note also that such a universal relation was first proposed in holographic models, and it has also been observed in condensed matter theories [49][50][51][52][53][54] as well as in the Sachdev-Ye-Kitaev (SYK) models [55][56][57]. See also [58][59][60] for its relation with the ill-defined Green's function, pole-skipping phenomena.…”

Section: Jhep02(2023)018mentioning

confidence: 70%

Holographic study of $$ T\overline{T} $$ like deformed HV QFTs: holographic entanglement entropy

Jeong

Pan

Sun

et al. 2023

J. High Energ. Phys.

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We study the (d + 2)-dimensional Hyperscaling Violating (HV) geometries in the presence of both a finite temperature T and a UV cutoff rc. This gravitational system is conjectured to be dual to $$ T\overline{T} $$ T T ¯ like deformed HV QFTs. We consider the representative quantum entanglement quantity in holography, i.e. the entanglement entropy S(A), and perform a complete analysis in all possible parameter ranges of the hyperscaling violation exponent θ and the critical dynamical exponent z to study the effect of the temperature and the cutoff. We find that the temperature has a universal effect independent of the parameters: it enhances S(A) in the small cutoff limit, while it is irrelevant in the large cutoff limit. For the cutoff effect, we find that the cutoff monotonically suppresses S(A) where its behavior depends on the parameter range. As an application of the finite temperature analysis, we study the first law of entanglement entropy, ST – ST =0 ~ ℓλ, in the small subsystem size ℓ limit. We find that λ interpolates between λ = 1 + z in the small cutoff and λ = 3 in the large cutoff, independent of the parameter range. We also provide the analytic holographic result at z = d – θ and discuss its possibility of comparison with the field theoretic result.

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“…Note also that such a universal relation was first proposed in holographic models, and it has also been observed in condensed matter theories [42][43][44][45][46][47] as well as in the Sachdev-Ye-Kitaev (SYK) models [48][49][50]. See also [51][52][53] for its relation with the ill-defined Green's function, pole-skipping phenomena.…”

Section: Introductionmentioning

confidence: 72%

Holographic study of $T\bar{T}$ like deformed HV QFTs: holographic entanglement entropy

Jeong¹,

Wei²,

Sun³

et al. 2022

Preprint

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We study the (d + 2)-dimensional Hyperscaling Violating (HV) geometries in the presence of both a finite temperature T and a UV cutoff r c . This gravitational system is conjectured to be dual to T T like deformed HV QFTs. We consider the representative quantum entanglement quantity in holography, i.e. the entanglement entropy S(A), and perform a complete analysis in all possible parameter ranges of the hyperscaling violation exponent θ and the critical dynamical exponent z to study the effect of the temperature and the cutoff. We find that the temperature has a universal effect independent of the parameters: it enhances S(A) in the small cutoff limit, while it is irrelevant in the large cutoff limit. For the cutoff effect, we find that the cutoff monotonically suppresses S(A) where its behavior depends on the parameter range. As an application of the finite temperature analysis, we study the first law of entanglement entropy, S T − S T =0 ∼ λ , in the small subsystem size limit. We find that λ interpolates between λ = 1 + z in the small cutoff and λ = 3 in the large cutoff, independent of the parameter range. We also provide the analytic holographic result at z = d − θ and discuss its possibility of comparison with the field theoretic result.

show abstract

Quasi-normal modes of dyonic black holes and magneto-hydrodynamics

Cited by 18 publications

References 179 publications

Holography and magnetohydrodynamics with dynamical gauge fields

Holography and magnetohydrodynamics with dynamical gauge fields

Holographic study of $$ T\overline{T} $$ like deformed HV QFTs: holographic entanglement entropy

Holographic study of $T\bar{T}$ like deformed HV QFTs: holographic entanglement entropy

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