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Holographic Experiments on Defects
High Energy Physics - Theory · Submitted 8 Sep 2009
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Both of these regimes display many generic features and some features that we attribute to strong coupling, such as a minimum DC conductivity and an unusual behavior of the "cyclotron" and plasmon frequencies, which become related to the resonances found in the conformal case in an earlier paper.
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The abstract, sentence by sentence
Using the AdS/CFT correspondence, we study the anisotropic charge transport properties of both supersymmetric and non-supersymmetric matter fields on (2+1)-dimensional defects coupled to a (3+1)-dimensional N=4 SYM "heat bath". We focus on the cases of a finite external background magnetic field, finite net charge density and finite mass and their combinations. In this context, we also discuss the limitations due to operator mixing that appears in a few situations and that we ignore in our analysis. At high frequencies, we discover a spectrum of quasi-particle resonances due to the magnetic field and finite density and at small frequencies, we perform a Drude-like expansion around the DC limit. Both of these regimes display many generic features and some features that we attribute to strong coupling, such as a minimum DC conductivity and an unusual behavior of the "cyclotron" and plasmon frequencies, which become related to the resonances found in the conformal case in an earlier paper. We further study the hydrodynamic regime and the relaxation properties, from which the system displays a set of different possible transitions to the collisionless regime. The mass dependence can be cast in two regimes: a generic relativistic behavior dominated by the UV and a non-linear hydrodynamic behavior dominated by the IR. In the massless case, we furthermore extend earlier results from the literature to find an interesting self-duality under a transformation of the conductivity and the exchange of density and magnetic field.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | Using the AdS/CFT correspondence, we study the anisotropic charge transport properties of both supersymmetric and non-supersymmetric matter fields on (2+1)-dimensional defects coupled to a (3+1)-dimensional N=4 SYM "heat bath". | contribution 0.99 | 0.92 | 0.08 | asserted 0.93 |
| s1 | We focus on the cases of a finite external background magnetic field, finite net charge density and finite mass and their combinations. | contribution 0.87 | 0.52 | 0.03 | asserted 0.78 |
| s2 | In this context, we also discuss the limitations due to operator mixing that appears in a few situations and that we ignore in our analysis. | limitation 1.00 | 0.50 | 0.02 | asserted 0.95 |
| s3 | At high frequencies, we discover a spectrum of quasi-particle resonances due to the magnetic field and finite density and at small frequencies, we perform a Drude-like expansion around the DC limit. | result 0.95 | 0.96 | 0.14 | asserted 1.00 |
| s4 | Both of these regimes display many generic features and some features that we attribute to strong coupling, such as a minimum DC conductivity and an unusual behavior of the "cyclotron" and plasmon frequencies, which become related to the resonances found in the conformal case in an earlier paper. | result 0.85 | 0.91 | 0.31 | asserted 0.93 |
| s5 | We further study the hydrodynamic regime and the relaxation properties, from which the system displays a set of different possible transitions to the collisionless regime. | contribution 0.54 | 0.92 | 0.10 | asserted 0.94 |
| s6 | The mass dependence can be cast in two regimes: a generic relativistic behavior dominated by the UV and a non-linear hydrodynamic behavior dominated by the IR. | result 0.86 | 0.85 | 0.09 | asserted 0.97 |
| s7 | In the massless case, we furthermore extend earlier results from the literature to find an interesting self-duality under a transformation of the conductivity and the exchange of density and magnetic field. | result 0.85 | 0.85 | 0.10 | asserted 1.00 |
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The paper
Original abstract
Using the AdS/CFT correspondence, we study the anisotropic charge transport properties of both supersymmetric and non-supersymmetric matter fields on (2+1)-dimensional defects coupled to a (3+1)-dimensional N=4 SYM "heat bath". We focus on the cases of a finite external background magnetic field, finite net charge density and finite mass and their combinations. In this context, we also discuss the limitations due to operator mixing that appears in a few situations and that we ignore in our analysis. At high frequencies, we discover a spectrum of quasi-particle resonances due to the magnetic field and finite density and at small frequencies, we perform a Drude-like expansion around the DC limit. Both of these regimes display many generic features and some features that we attribute to strong coupling, such as a minimum DC conductivity and an unusual behavior of the "cyclotron" and plasmon frequencies, which become related to the resonances found in the conformal case in an earlier paper. We further study the hydrodynamic regime and the relaxation properties, from which the system displays a set of different possible transitions to the collisionless regime. The mass dependence can be cast in two regimes: a generic relativistic behavior dominated by the UV and a non-linear hydrodynamic behavior dominated by the IR. In the massless case, we furthermore extend earlier results from the literature to find an interesting self-duality under a transformation of the conductivity and the exchange of density and magnetic field.
Human review
How the literature uses it
11 arXiv papers cite this in 42 sentences
Papers citing it · 27 sentences without a confident label
Uses its method or tool 1 paper
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This choice to momentum is chosen so as to have a regular solution to the field $x_3$; this kind of choice is also used in [ref] , [ref] (see the study of this configuration at finite temperature in [ref] ).
Quantum phase transition in a Dp-Dq system · D3-D5 system with Full action · 0.93
Uses its data or values 1 paper
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Using expression for the DC conductivity from [ref] ([ref]) and the expression for the residue, ([ref]), we can obtain an expression for the relaxation time
Physical Response Functions of Strongly Coupled Massive Quantum Liquids · Relaxation Time in the Drude limit · 0.80
Compares with it 1 paper
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To see that this is consistent at $ξ∼(√())$ with the full expression for the integral found in [ref] , we substitute the approximate the solution psilogsol into the full expression and expand for large $$ – giving us $∫d u (/u^2 + (^-1))$.
Massive Quantum Liquids from Holographic Angel's Trumpets · Free Energy · 0.96
Cites it as support 1 paper
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This is suggested by backgd, mag_formula and at large $f$ also by the quasiparticle spectrum found in [ref] .
Thermodynamics of Holographic Defects · Massless case · 0.98
Cites it as background 7 papers
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gravsetup In this section, we briefly review the string theory setup of the defect that was outlined in detail in [ref] .
Thermodynamics of Holographic Defects · Gravitational setup · 0.93
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As we discussed in section [ref], we have two scalars at hand that we can use for the symmetry breaking, the one corresponding to the separation of the probe branes in the $z$ direction along the D3 branes, and the one on the sphere separating the probe branes from the D3's, corresponding in the usual picture to a finite quark mass [ref] or chiral symmetry breaking [ref] .
Three Roads to Probe-Brane Superconductivity · Flat scalar · 0.95
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In condensed matter applications, there has been particular interest in 2+1 dimensional systems that can be typically constructed using M2 branes [ref] , or as a defect in a 3+1 dimensional background using D3-D5 [ref] and D3-D7 [ref] intersections – and also as bottom-up setups in various contexts such as superconductivity.
Massive Quantum Liquids from Holographic Angel's Trumpets · Introduction · 0.94
What it cites · 15 sentences without a confident label
Builds on 6 papers
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Now, we see that the argument of the T-dual case of the D3-D7 system with $3+1$ intersecting directions [ref] [ref] [ref] also applies to our case, and the quark mass $M_q$ and condensate $C$ are given by [equation] This can be straightforwardly obtained from the results in ref. long1,long2, but also in our case we see that this relates to the length of a string spanning on the sphere from the D3 branes to the D5 branes.
Black Holes Radiate Mainly on the Brane · AdS/CMT Dictionary (Supersymmetric Case) · 0.86
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Now, we see that the argument of the T-dual case of the D3-D7 system with $3+1$ intersecting directions [ref] [ref] [ref] also applies to our case, and the quark mass $M_q$ and condensate $C$ are given by [equation] This can be straightforwardly obtained from the results in ref. long1,long2, but also in our case we see that this relates to the length of a string spanning on the sphere from the D3 branes to the D5 branes.
Chiral Symmetry Breaking and Pions in Non-Supersymmetric Gauge/Gravity Duals · AdS/CMT Dictionary (Supersymmetric Case) · 0.86
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Now, we see that the argument of the T-dual case of the D3-D7 system with $3+1$ intersecting directions [ref] [ref] [ref] also applies to our case, and the quark mass $M_q$ and condensate $C$ are given by [equation] This can be straightforwardly obtained from the results in ref. long1,long2, but also in our case we see that this relates to the length of a string spanning on the sphere from the D3 branes to the D5 branes.
Holographic phase transitions at finite baryon density · AdS/CMT Dictionary (Supersymmetric Case) · 0.86
Cites as background 21 papers
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The AdS/CFT correspondence [ref] [ref] is a very important tool to study strongly coupled field theories using both string theory based and other gravitational setups.
Large N Field Theories, String Theory and Gravity · Introduction · 0.99
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The AdS/CFT correspondence [ref] [ref] is a very important tool to study strongly coupled field theories using both string theory based and other gravitational setups.
The Large N Limit of Superconformal Field Theories and Supergravity · Introduction · 0.99
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The defect CFT constructed with the D5-branes is certainly well known [ref] [ref] .
Localized Gravity in String Theory · Introduction · 0.97
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