2008

Transport Properties of Holographic Defects

Myers, Robert C., Wapler, Matthias C.

Understand

We study the charge transport properties of fields confined to a (2+1)-dimensional defect coupled to (3+1)-dimensional super-Yang-Mills at large-$\nc$ and strong coupling, using AdS/CFT techniques applied to linear response theory.

The dual system is described by $\nf$ probe D5- or D7-branes in the gravitational background of $\nc$ black D3-branes.
Surprisingly, the transport properties of both defect CFT's are essentially identical -- even though the D7-brane construction breaks all supersymmetries.
We find that the system possesses a conduction threshold given by the wave-number of the perturbation and that the charge transport arises from a quasiparticle spectrum which is consistent with an intuitive picture where the defect acquires a finite width.

Built on

L.P. Kadanoff and P.C. Martin, “Hydrodynamic Equations and Correlation Functions,” Ann. Phys. 24
1963
Earlier work this paper cites.
P. Breitenlohner and D.Z. Freedman, “Positive Energy In Anti-De Sitter Backgrounds And Gauged Extended Supergravity,” Phys. Lett. B 115
1985
Earlier work this paper cites.
Y. Kitazawa, “Effective lagrangian for open superstring from five point function,” Nucl. Phys. B 289
1987
Earlier work this paper cites.
See, for example: P. M. Chaikin and T. C. Lubensky Principles of condensed matter physics
1995
Earlier work this paper cites.
A. A. Tseytlin, “On non-abelian generalisation of the Born-Infeld action in string theory,” Nucl. Phys. B 501
1997
Earlier work this paper cites.
A. Hashimoto and W. Taylor, “Fluctuation spectra of tilted and intersecting D-branes from the Born-Infeld action,” Nucl. Phys. B 503
1997
Earlier work this paper cites.
J.M. Maldacena, “The large N limit of superconformal field theories and supergravity,” Adv. Theor. Math. Phys. 2
1998
Earlier work this paper cites.
S.S. Gubser, I.R. Klebanov and A.M. Polyakov, “Gauge theory correlators from non-critical string theory,” Phys. Lett. B 428
1998
Earlier work this paper cites.
A. Karch and E. Katz, “Adding flavor to AdS/CFT,” JHEP 0206
1998
Earlier work this paper cites.
E. Witten, “Anti-de Sitter space, thermal phase transition, and confinement in gauge theories,” Adv. Theor. Math. Phys. 2
1998
Earlier work this paper cites.
A. Kapustin and S. Sethi, “The Higgs branch of impurity theories,” Adv. Theor. Math. Phys. 2
1998
Earlier work this paper cites.
See, for example: S. Sachdev, Quantum Phase Transitions
1999
Earlier work this paper cites.
C. P. Bachas, P. Bain and M. B. Green, “Curvature terms in D-brane actions and their M-theory origin,” JHEP 9905
1999
Earlier work this paper cites.
O. Aharony, S.S. Gubser, J.M. Maldacena, H. Ooguri and Y. Oz, “Large N field theories, string theory and gravity,” Phys. Rept. 323
2000
Earlier work this paper cites.
N. R. Constable, R. C. Myers and O. Tafjord, “The noncommutative bion core,” Phys. Rev. D 61
2000
Earlier work this paper cites.

Similar

R. Emparan, G.T. Horowitz and R.C. Myers, “Black holes radiate mainly on the brane,” Phys. Rev. Lett. 85
2000
Cited alongside, same era.
R. C. Myers, “Dielectric-branes,” JHEP 9912
2000
Cited alongside, same era.
A. Karch and L. Randall, “Localized gravity in string theory,” Phys. Rev. Lett. 87
2001
Cited alongside, same era.
N. R. Constable, R. C. Myers and O. Tafjord, “Non-Abelian brane intersections,” JHEP 0106
2001
Cited alongside, same era.
P. Koerber and A. Sevrin, “The non-Abelian Born-Infeld action through order α ′ 3 \alpha^{\prime 3} ,” JHEP 0110
2001
Cited alongside, same era.
O. DeWolfe, D.Z. Freedman and H. Ooguri, “Holography and defect conformal field theories,” Phys. Rev. D 66
2002
Cited alongside, same era.
J. Erdmenger, Z. Guralnik and I. Kirsch, “Four-dimensional superconformal theories with interacting boundaries or defects,” Phys. Rev. D 66
2002
Cited alongside, same era.
D.T. Son and A.O. Starinets, “Minkowski-space correlators in AdS/CFT correspondence: Recipe and applications,” JHEP 0209
2002
Cited alongside, same era.
A. Nunez and A. O. Starinets, “AdS/CFT correspondence, quasinormal modes, and thermal correlators in N = 4 SYM,” Phys. Rev. D 67
2002
Cited alongside, same era.
G. Policastro, D.T. Son and A.O. Starinets, “From AdS/CFT correspondence to hydrodynamics,” JHEP 0209
2002
Cited alongside, same era.
C.P. Herzog, “The hydrodynamics of M-theory,” JHEP 0212
2002
Cited alongside, same era.
D. Birmingham, I. Sachs and S. N. Solodukhin, “Conformal field theory interpretation of black hole quasi-normal modes,” Phys. Rev. Lett. 88
Original
2002
Cited alongside, same era.

Then

J. Babington, J. Erdmenger, N.J. Evans, Z. Guralnik and I. Kirsch, “Chiral symmetry breaking and pions in non-supersymmetric gauge/gravity duals,” Phys. Rev. D 69
2004
Later among the works it cites.
P.K. Kovtun and A.O. Starinets, “Quasinormal modes and holography,” Phys. Rev. D 72
2005
Later among the works it cites.
T. Albash, V. Filev, C.V. Johnson and A. Kundu, “A topology-changing phase transition and the dynamics of flavour,” arXiv:hep-th/0605088; T. Albash, V. Filev, C.V. Johnson and A. Kundu, “Global currents, phase transitions, and chiral symmetry breaking in large N c N_{\textrm{\tiny c}} gauge theory,” arXiv:hep-th/0605175; V.G. Filev, C.V. Johnson, R.C. Rashkov and K.S. Viswanathan, “Flavoured large N gauge theory in an external magnetic field,” arXiv:hep-th/0701001; A. Karch and A. O’Bannon, “Chiral transition of N=4 super Yang-Mills with flavor on a 3-sphere,” Phys. Rev. D 74
2006
Later among the works it cites.
D. Arean and A.V. Ramallo, “Open string modes at brane intersections,” JHEP 0604
2006
Later among the works it cites.
See, for example: W. Zajc, “Quark Gluon Plasma at RHIC (and in QCD and String Theory),” presented at PASCOS 08 — see http://pirsa.org/08060040/; K. Rajagopal, “Quark Gluon Plasma in QCD, at RHIC, and in String Theory,” presented at PASCOS 08 — see http://pirsa.org/08060041/; D. Mateos, “String Theory and Quantum Chromodynamics,” Class. Quant. Grav. 24
Original
2007
Later among the works it cites.
C. P. Herzog, P. Kovtun, S. Sachdev and D. T. Son, Phys. Rev. D 75
2007
Later among the works it cites.
See, for example: S. A. Hartnoll, P. K. Kovtun, M. Muller and S. Sachdev, “Theory of the Nernst effect near quantum phase transitions in condensed matter, and in dyonic black holes,” Phys. Rev. B 76
Original
2007
Later among the works it cites.
See, for example: M. R. Douglas and S. Kachru, “Flux compactification,” Rev. Mod. Phys. 79
2007
Later among the works it cites.
J. Gomis and C. Romelsberger, “Bubbling defect CFT’s,” JHEP 0608
Original
2007
Later among the works it cites.
S.Y. Rey, “Quantum Phase Transitions from String Theory,” talk at Strings 2007 — see: http://www.ift.uam.es/strings07/010_marco.htm
2007
Later among the works it cites.
D. Mateos, R.C. Myers and R.M. Thomson, “Holographic phase transitions with fundamental matter,” Phys. Rev. Lett. 97
2007
Later among the works it cites.
R. C. Myers, A. O. Starinets and R. M. Thomson, “Holographic spectral functions and diffusion constants for fundamental matter,” JHEP 0711
Original
2007
Later among the works it cites.
S. Kobayashi, D. Mateos, S. Matsuura, R.C. Myers and R.M. Thomson, “Holographic phase transitions at finite baryon density,” JHEP 0702
Original
2007
Later among the works it cites.
See, for example: D. T. Son, “Toward an AdS/cold atoms correspondence: a geometric realization of the Schrödinger symmetry,” Phys. Rev. D 78
Original
2008
Closest in time.
R. C. Myers and A. Sinha, “The fast life of holographic mesons,” JHEP 0806
Original
2008
Closest in time.

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

Reading the bibliography…