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<str<strong>on</strong>g>Review</str<strong>on</strong>g> <strong>on</strong> C<strong>on</strong>ductivity <strong>from</strong> <strong>AdS</strong>/<strong>CFT</strong><br />
In Memory of Professor Mohammad Hossein Sarmadi<br />
Mohammad Ali-Akbari<br />
10 Azar 1389, Tehran, IPM
<strong>AdS</strong>_5xS^5 Metric<br />
DBI acti<strong>on</strong> for<br />
a D7-brane<br />
Equati<strong>on</strong> of moti<strong>on</strong> and<br />
its soluti<strong>on</strong> for a scalar field<br />
Mass<br />
A. Karch, A. O'Bann<strong>on</strong> and K. Skenderis, ``Holographic renormalizati<strong>on</strong> of probe D-branes in <strong>AdS</strong>/<strong>CFT</strong>,''<br />
JHEP 0604, 015 (2006) [arXiv:hep-th/0512125].
Mass
<strong>AdS</strong>-Schwarzschild<br />
metric<br />
DBI acti<strong>on</strong> for N_f<br />
D7-branes<br />
N<strong>on</strong>-zero comp<strong>on</strong>ents<br />
of gauge filed living<br />
<strong>on</strong> the brane<br />
Karch and A. O'Bann<strong>on</strong>, “Metallic <strong>AdS</strong>/<strong>CFT</strong>,” JHEP 0709, 024 (2007)<br />
[arXiv:0705.3870 [hep-th]].
Acti<strong>on</strong><br />
Equati<strong>on</strong> of moti<strong>on</strong><br />
where .
Near the boundary<br />
z---> 0<br />
<strong>AdS</strong>/<strong>CFT</strong>
Acti<strong>on</strong> in terms of<br />
D & B & E<br />
C<strong>on</strong>ductivity equati<strong>on</strong><br />
Hall c<strong>on</strong>ductivity
Induced metric<br />
DBI acti<strong>on</strong> for a<br />
Dq-brane<br />
C<strong>on</strong>ductivity
Electric and magnetic<br />
fields<br />
C<strong>on</strong>ductivity equati<strong>on</strong>s<br />
Ohmic and Hall<br />
coductivities<br />
O'Bann<strong>on</strong>, ``Hall C<strong>on</strong>ductivity of Flavor Fields <strong>from</strong> <strong>AdS</strong>/<strong>CFT</strong>,'‘<br />
Phys. Rev. D 76, 086007 (2007) [arXiv:0708.1994 [hep-th]].
M. Ali-Akbari and K. B. Fadafan, “C<strong>on</strong>ductivity at finite 't Hooft coupling <strong>from</strong> <strong>AdS</strong>/C FT,”<br />
arXiv:1008.2430 [hep-th].
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