Transport Properties of Holographic Defects
Nov, 2008
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Abstract: (arXiv)
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- and strong coupling, using AdS/CFT techniques applied to linear response theory. The dual system is described by probe D5- or D7-branes in the gravitational background of 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. We also examine finite- modifications arising from higher derivative interactions in the probe brane action.Note:
- 54 pages, 22 figures
- AdS/CFT correspondence
- Gauge/gravity correspondence
- gauge field theory: Yang-Mills
- supersymmetry
- strong coupling
- dimension: 4
- defect
- dimension: 3
- charge: transport theory
- expansion 1/N: color
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