SL(2,Z) Action on AdS/BCFT and Hall Conductivities

Details SL(2,Z) Action on AdS/BCFT and Hall Conductivities SL(2,Z) Action on AdS/BCFT and Hall Conductivities

2012-03-30

arxiv.org/abs/1204.0012v2

Physics

High Energy Physics

High Energy Physics - Theory

26 pages, 1 figure; v2: references added

Scientific paper

We study the response of a conserved current to external electromagnetic fields in a holographic system with boundaries using the recently proposed AdS/BCFT (boundary conformal field theory) framework. This, in particular, allows us to extract the Hall current, the Hall conductivity, plus some potentially novel transport coefficients, and relations among them. We also analyze the action of SL(2,Z) duality in the gravity bulk, which acts non-trivially on the conductivity of the BCFT. Finally we consider a type IIA string theory embedding of our setup.

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