Bending branes for DCFT in two dimensions

Erdmenger, Johanna; Flory, Mario; Newrzella, Max-Niklas

doi:10.1007/jhep01(2015)058

Cited by 48 publications

(119 citation statements)

References 102 publications

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“…Now we have shown that, holographic BCFTs with DBC and NBC have the same solutions, i.e., Poincare AdS (14) together with the embedding function of Q (15). As a result, they have the same boundary entropy and boundary central charges related to Euler densities and thus both obey g-theorem.…”

Section: Holographic Bcft With Dirichlet Bcmentioning

confidence: 78%

“…So the holographic BCFT with Dirichlet BC is well-defined. As a quick check, we notice that the Poincare AdS (14) together with the embedding function of Q (15) are indeed solutions to the Dirichlet BC (63). As a result, holographic BCFT with Dirichlet BC share most of the advantages of holographic BCFT with Neumann BC [21].…”

Section: Holographic Bcft With Dirichlet Bcmentioning

confidence: 82%

“…For simplicity, we focus on the probe limit, i.e., AdS spacetime (14) with the bulk boundary Q located at (15). This is sufficient for the study of the leading order of current.…”

Section: Probe Limitmentioning

confidence: 99%

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Holographic BCFT with Dirichlet boundary condition

Miao

2019

J. High Energ. Phys.

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Neumann boundary condition plays an important role in the initial proposal of holographic dual of boundary conformal field theory, which has yield many interesting results and passed several non-trivial tests. In this paper, we show that Dirichlet boundary condition works as well as Neumann boundary condition. For instance, it includes AdS solution and obeys the g-theorem. Furthermore, it can produce the correct expression of one point function, the boundary Weyl anomaly and the universal relations between them. We also study the relative boundary condition for gauge fields, which is the counterpart of Dirichlet boundary condition for gravitational fields. Interestingly, the fourdimensional Reissner-Nordström black hole with magnetic charge is an exact solution to relative boundary condition under some conditions. This holographic model predicts that a constant magnetic field in the bulk can induce a constant current on the boundary in three dimensions. We suggest to measure this interesting boundary current in materials such as the graphene. *

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Section: Holographic Bcft With Dirichlet Bcmentioning

confidence: 78%

Section: Holographic Bcft With Dirichlet Bcmentioning

confidence: 82%

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Holographic BCFT with Dirichlet boundary condition

Miao

2019

J. High Energ. Phys.

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“…Since in 2 + 1 dimensions gravity has no propagating degrees of freedom, the only effect is to impose some gluing condition between the geometry to the ‘left’ and to the ‘right’ of the defect. The conditions are the Israel junction conditions with the energy‐momentum tensor of the fields on the defect (see for a detailed analysis). This approach was applied to the holographic impurity model in , the result is summarized in Figure .…”

Section: Holographic Model Of the Kondo Effectmentioning

confidence: 99%

Holographic impurities and Kondo effect

Erdmenger

Flory

Hoyos

et al. 2016

Fortschritte der Physik

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Magnetic impurities are responsible for many interesting phenomena in condensed matter systems, notably the Kondo effect and quantum phase transitions. Here we present a holographic model of a magnetic impurity that captures the main physical properties of the large-spin Kondo effect. We estimate the screening length of the Kondo cloud that forms around the impurity from a calculation of entanglement entropy and show that our results are consistent with the g-theorem.

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“…It might be interesting to explore such a possible connection further [95], as well as to reproduce Eq. (18) in the holographic models aspiring to describe the Kondo physics [103][104][105][106][107].…”

Section: Emergent Geometry and 'Holography Light'mentioning

confidence: 99%

Demystifying the holographic mystique: A critical review

Khveshchenko¹

2016

Lith. J. Phys.

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Thus far, in spite of many interesting developments, the overall progress towards a systematic study and classification of various 'strange' metallic states of matter has been rather limited. To that end, it was argued that a recent proliferation of the ideas of holographic correspondence originating from string theory might offer a possible way out of the stalemate. However, after almost a decade of intensive studies into the proposed extensions of the holographic conjecture to a variety of condensed matter problems, the validity of this intriguing approach remains largely unknown. This discussion aims at ascertaining its true status and elucidating the conditions under which some of its predictions may indeed be right (albeit, possibly, for a wrong reason).Keywords: strongly correlated systems, holographic correspondence, transport theory, strange metals, analogue gravity PACS: 71.27.+a Condensed matter holography: the promiseAmong the outstanding grand problems in condensed matter physics is that of a deeper understanding and classification of the so-called 'strange metals' or compressible non-Fermi liquid (NFL) states of the strongly interacting systems. However, despite all the effort and a plethora of the important and nontrivial results obtained with the use of the traditional techniques, this program still remains far from completion.As an alternate approach, over the past decade there have been numerous attempts inspired by the hypothetical idea of holographic correspondence which originated from string/gravity/high energy theory (where it is known under the acronym AdS/ CFT) to adapt its main concepts to various condensed matter (or, even more generally, quantum manybody) systems at finite densities and temperatures [1][2][3][4][5][6][7].In its original context, the bona fide holographic principle postulates that certain d + 1-dimensional ('boundary') quantum field theories (e. g. the maximally supersymmetric SU(N) gauge theory) may allow for a dual description in terms of a string theory which, upon a proper compactification, amounts to a certain d + 2-dimensional ('bulk') supergravity. Moreover, in the strong coupling limit (characterized in terms of the t'Hooft coupling constant λ = g 2 N >> 1) and for a large rank N > > 1 of the gauge symmetry group, the bulk description can be further reduced down to a weakly fluctuating gravity model which can even be treated semiclassically at the lowest (0th) order of the underlying 1/N-expansion.In the practical applications of the holographic conjecture, the partition function of a strongly interacting boundary theory with the Lagrangian L(ϕ a ) would then be approximated by a saddle-point (classical) value of the bulk action described by the Lagrangian L(g μν ,…) which includes gravity and other fields dual to their boundary counterparts [1][2][3][4][5][6][7][8] (1) evaluated with the use of a fixed background metric ,while any quantum corrections would usually be neglected by invoking the small parameter 1/N.

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Bending branes for DCFT in two dimensions

Cited by 48 publications

References 102 publications

Holographic BCFT with Dirichlet boundary condition

Holographic BCFT with Dirichlet boundary condition

Holographic impurities and Kondo effect

Demystifying the holographic mystique: A critical review

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