Black hole elasticity and gapped transverse phonons in holography

Alberte, Lāsma; Ammon, Martin; Baggioli, Matteo; Jiménez, Amadeo; Pujolàs, Oriol

doi:10.1007/jhep01(2018)129

Cited by 89 publications

(148 citation statements)

References 77 publications

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“…It is not obvious what the relation is between the bulk theory we have considered here and the models of holographic massive gravity [52,53] that have been studied as duals of solids [28][29][30]. There, the emphasis is on the short-distance breaking of translations on the boundary theory, which is interpreted in the bulk as a breaking of general covariance.…”

Section: Discussionmentioning

confidence: 99%

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Conformal solids and holography

Esposito

García-Sáenz

Nicolis

et al. 2017

J. High Energ. Phys.

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We argue that a SO(d) magnetic monopole in an asymptotically AdS spacetime is dual to a d-dimensional strongly coupled system in a solid state. In light of this, it would be remiss of us not to dub such a field configuration solidon. In the presence of mixed boundary conditions, a solidon spontaneously breaks translations (among many other symmetries) and gives rise to Goldstone excitations on the boundary -the phonons of the solid. We derive the quadratic action for the boundary phonons in the probe limit and show that, when the mixed boundary conditions preserve conformal symmetry, the longitudinal and transverse sound speeds are related to each other as expected from effective field theory arguments. We then include backreaction and calculate the free energy of the solidon for a particular choice of mixed boundary conditions, corresponding to a relevant multi-trace deformation of the boundary theory. We find such free energy to be lower than that of thermal AdS. This suggests that our solidon undergoes a solid-to-liquid first order phase transition by melting into a Schwarzschild-AdS black hole as the temperature is raised.

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Section: Discussionmentioning

confidence: 99%

“…[24,25]), and some indications that they might be dual to a solid already appeared in the literature [26,27]. Some steps towards the identification of the gravity dual of a solid have also been made in [28][29][30] using theories of massive gravity. We will come back to these other approaches at the end of our paper.…”

Section: Jhep12(2017)113mentioning

confidence: 99%

Conformal solids and holography

Esposito

García-Sáenz

Nicolis

et al. 2017

J. High Energ. Phys.

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“…Reference [68] investigates the conductivity and pinning of a spontaneously striped phase of a holographic Bianchi VII construction in the presence of an explicit lattice. Reference [69] studies transverse, gapped pseudophonons in the context of a holographic massive gravity model. 14 Anyonization of other D-brane models have also recently been considered [63][64][65][66].…”

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confidence: 99%

Pinning of holographic sliding stripes

2017

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In a holographic probe-brane model exhibiting a spontaneously spatially modulated ground state, we introduce explicit sources of symmetry breaking in the form of ionic and antiferromagnetic lattices. For the first time in a holographic model, we demonstrate pinning, in which the translational Goldstone mode is lifted by the introduction of explicit sources of translational symmetry breaking. The numerically computed optical conductivity fits very well to a Drude-Lorentz model with a small residual metallicity, precisely matching analytic formulas for the DC conductivity. We also find an instability of the striped phase in the presence of a large-amplitude ionic lattice.

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“…However, these results could be potentially interesting to study through the lens of AdS/CFT. The conformal field theory dual to massive gravity in various contexts has been studied in recent years [17][18][19]. However, Lorentz violating massive gravity has not been studied in this context and the fact that an ordinary fluid/solid coupled to gravity gives rise to such a massive gravity theory could have interesting implications for the dynamics and symmetries of a corresponding dual CFT.…”

Section: Discussionmentioning

confidence: 99%

“…Looking at the special case where the mass term is the Lorentz invariant Fierz-Pauli mass term (i.e., m 0 ¼ 0, m i ¼ m for i ¼ 1, 2, 3, 4), the dispersion relation (19) reduces to…”

Section: Lorentz Violating Massive Gravitymentioning

confidence: 99%

Medium generated gap in gravity and a 3D gauge theory

Gabadadze

Older

2018

Phys. Rev. D

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It is well known that a physical medium that sets a Lorentz frame generates a Lorentz-breaking gap for a graviton. We examine such generated "mass" terms in the presence of a fluid medium whose ground state spontaneously breaks spatial translation invariance in d ¼ D þ 1 spacetime dimensions, and for a solid in D ¼ 2 spatial dimensions. By requiring energy positivity and subluminal propagation, certain constraints are placed on the equation of state of the medium. In the case of D ¼ 2 spatial dimensions, classical gravity can be recast as a Chern-Simons gauge theory, and motivated by this we recast the massive theory of gravity in AdS 3 as a massive Chern-Simons gauge theory with an unusual mass term. We find that in the flat space limit the Chern-Simons theory has a novel gauge invariance that mixes the kinetic and mass terms, and enables the massive theory with a noncompact internal group to be free of ghosts and tachyons.

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Black hole elasticity and gapped transverse phonons in holography

Cited by 89 publications

References 77 publications

Conformal solids and holography

Conformal solids and holography

Pinning of holographic sliding stripes

Medium generated gap in gravity and a 3D gauge theory

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