Hovering black holes from charged defects

Horowitz, GT; Iqbal, Nabil; Santos, Jorge Pinto Da Silva e Conceicao; Way, Benson

doi:10.1088/0264-9381/32/10/105001

Cited by 42 publications

(102 citation statements)

References 38 publications

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“…Conifold transitions are widely present, possibly universally, in topology-changing mergers in the solution space of black hole systems -e.g., besides the cases considered in [8], they are also expected in the transitions between black droplets and black funnels in AdS [34], and perhaps also between black holes hovering above an AdS black brane and black mushrooms [35]. We have found critical, split and fused conifolds that smooth out and extend the singular cones S 2 × S n .…”

Section: Discussionsupporting

confidence: 64%

Topology-changing horizons at large D as Ricci flows

Suzuki

2019

J. High Energ. Phys.

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The topology-changing transition between black strings and black holes localized in a Kaluza-Klein circle is investigated in an expansion in the inverse of the number of dimensions D. Performing a new kind of large-D scaling reduces the problem to a Ricci flow of the near-horizon geometry as it varies along the circle direction. The flows of interest here simplify to a non-linear logarithmic diffusion equation, with solutions known in the literature which are interpreted as the smoothed conifold geometries involved in the transition, namely, split and fused cones, which connect to black holes and non-uniform black strings away from the conical region. Our study demonstrates the adaptability of the 1/D expansion to deal with all the regimes and aspects of the static black hole/black string system, and provides another instance of the manner in which the large D limit reduces the task of solving Einstein's equations to a simpler but compelling mathematical problem. arXiv:1905.01062v3 [hep-th] 22 Jul 20191 See [1, 2] for early reviews, and the book monograph [3] for a more up to date view. 2 The evolution of black strings to black holes in solution space seems to be unrelated to the dynamical evolution of black strings towards (and across) a naked singularity. Although the change in topology is expected to be the same in both cases, the dynamical evolution appears to be at all moments strongly time-dependent, and occurs far from the static configurations around the transition in solution space. The singularities also appear to be very different in the two cases.3 Again, these black hole mergers in solution space are rather different than the dynamical mergers of event horizons. The latter admit simple local models studied in [6] and do not involve naked singularities. The evolution in solution space is adiabatic, while the dynamical merger is irreversible.

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Section: Discussionsupporting

confidence: 64%

Topology-changing horizons at large D as Ricci flows

Suzuki

2019

J. High Energ. Phys.

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“…Thus, we do not expect a holographic analogue of a many-body localized phase [82] to exist in many strongly disordered holographic systems. Strongly disordered black holes have been numerically constructed recently [99][100][101]; hence, dc transport coefficients in these backgrounds, along with finite momentum or frequency response, may be numerically computable in the near future.…”

Section: Resultsmentioning

confidence: 99%

Hydrodynamic transport in strongly coupled disordered quantum field theories

Lucas

2015

New J. Phys.

130

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We compute direct current thermoelectric transport coefficients in strongly coupled quantum field theories without long lived quasiparticles, at finite temperature and charge density, and disordered on long wavelengths compared to the length scale of local thermalization. Many previous transport computations in strongly coupled systems are interpretable hydrodynamically, despite formally going beyond the hydrodynamic regime. This includes momentum relaxation times previously derived by the memory matrix formalism, and non-perturbative holographic results; in the latter case, this is subject to some important subtleties. Our formalism may extend some memory matrix computations to higher orders in the perturbative disorder strength, as well as give valuable insight into nonperturbative regimes. Strongly coupled metals with quantum critical contributions to transport generically transition between coherent and incoherent metals as disorder strength is increased at fixed temperature, analogous to mean field holographic treatments of disorder. From a condensed matter perspective, our theory generalizes the resistor network approximation, and associated variational techniques, to strongly interacting systems where momentum is long lived. Q 2 with s Q a transport coefficient independent of disorder strength,  a charge density, and  an analogue of the mass density. The parameter τ is analogous to a momentum relaxation time, and related to the 1 This is technically not quite right-there is one (set of) bulk scalar fields in these models which is of the form f = kx , i i but this choice maintains homogeneity in the sectors of the theory of interest. 2 See [54, 55] for recent updates on this particular holographic model. 3 In graphene, for example, s~e h, Q 2with e the charge of the electron. 4 We can maintain an electric current without adding any energy by simply shifting to a moving reference frame.New J. Phys. 17 (2015) 113007 A Lucas

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“…A second intriguing conventional AdS/CFT example is in the work [15]. The authors consider a strongly coupled field theory with a gravity dual and a conserved current J µ .…”

Section: Comment About Interactionsmentioning

confidence: 99%

On marginal operators in boundary conformal field theory

Herzog

Shamir

2019

J. High Energ. Phys.

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The presence of a boundary (or defect) in a conformal field theory allows one to generalize the notion of an exactly marginal deformation. Without a boundary, one must find an operator of protected scaling dimension ∆ equal to the space-time dimension d of the conformal field theory, while with a boundary, as long as the operator dimension is protected, one can make up for the difference d − ∆ by including a factor z ∆−d in the deformation where z is the distance from the boundary. This coordinate dependence does not lead to a reduction in the underlying SO(d, 1) global conformal symmetry group of the boundary conformal field theory. We show that such terms can arise from boundary flows in interacting field theories. Ultimately, we would like to be able to characterize what types of boundary conformal field theories live on the orbits of such deformations. As a first step, we consider a free scalar with a conformally invariant mass term z −2 φ 2 , and a fermion with a similar mass. We find a connection to double trace deformations in the AdS/CFT literature.

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Hovering black holes from charged defects

Cited by 42 publications

References 38 publications

Topology-changing horizons at large D as Ricci flows

Topology-changing horizons at large D as Ricci flows

Hydrodynamic transport in strongly coupled disordered quantum field theories

On marginal operators in boundary conformal field theory

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