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

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arxiv 1204.0012 v2 pith:HJKTO3RC submitted 2012-03-30 hep-th cond-mat.str-el

Mitsutoshi Fujita , Matthias Kaminski , Andreas Karch This is my paper · ORCID
classification hep-thcond-mat.str-el
keywords bcfthallactionconductivitycurrenttheoryactsallows
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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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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Brane Cosmology from AdS/BCFT

    hep-th 2025-01 conditional novelty 6.0 of 10

    In an AdS/BCFT model with a brane-localized scalar, the authors derive a real-conformal-dimension constraint for dS/CFT, a time-like g-theorem, and a classification of constant-potential brane cosmologies including bi...

  2. Building an AdS/BCFT Josephson junction within Horndeski gravity

    hep-th 2025-10 reject novelty 4.0 of 10

    AdS/BCFT with Horndeski gravity is claimed to yield Josephson junctions whose phase and current depend on the Horndeski couplings, but the condensate and critical temperature are put in by hand.

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