SL(2,Z) Action on AdS/BCFT and Hall Conductivities
arXiv:1204.0012 · doi:10.1007/JHEP07(2012)150
Abstract
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.
26 pages, 1 figure; v2: references added
References in corpus (15)
- Non-Abelian Anyons and Topological Quantum Computation
- N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
- Aspects of AdS/BCFT
- Metallic AdS/CFT
- Exact half-BPS Type IIB interface solutions I: Local solution and supersymmetric Janus
- Holography of Dyonic Dilaton Black Branes
- Fractional Quantum Hall Effect via Holography: Chern-Simons, Edge States, and Hierarchy
- Parity-Violating Hydrodynamics in 2+1 Dimensions
- Forced Fluid Dynamics from Gravity
- Gravity Dual of a Quantum Hall Plateau Transition
- ABJM with Flavors and FQHE
- Chiral anomalies and AdS/CMT in two dimensions
- Holography of charged dilatonic black branes at finite temperature
- Simple holographic duals to boundary CFTs
- Non-linear, Finite Frequency Quantum Critical Transport from AdS/CFT
Cited by in corpus (31)
- Central Charges for BCFTs and Holography
- BCFT and Islands in Two Dimensions
- Bending branes for DCFT in two dimensions
- Chiral hydrodynamics in strong external magnetic fields
- Entanglement Entropy in a Holographic Kondo Model
- AdS/BCFT with Brane-Localized Scalar Field
- Brane Dynamics of Holographic BCFTs
- On the AdS/BCFT Approach to Quantum Hall Systems
- Universal properties of cold holographic matter
- AdS/BCFT correspondence and BTZ black hole thermodynamics within Horndeski gravity
- Black Holes in AdS/BCFT and Fluid/Gravity Correspondence
- A holographic model for the fractional quantum Hall effect
- Entanglement entropy analysis of dyonic black holes using doubly holographic theory
- Is boundary conformal in CFT?
- Horava-Lifshitz Gravity and Effective Theory of the Fractional Quantum Hall Effect
- AdS/BCFT correspondence and Horndeski gravity in the presence of gauge fields: holographic paramagnetism/ferromagnetism phase transition
- From Maxwell-Chern-Simons theory in towards hydrodynamics in 1+1 dimensions
- A Holographic Model of Quantum Hall Transition
- Holographic complexity of the disk subregion in (2+1)-dimensional gapped systems
- Magnetized AdS/BCFT Correspondence in Horndeski Gravity
- Chern-Simons Gravity Dual of BCFT
- Thermo-electric Transport of Dyonic Gubser-Rocha Black Holes
- Hall Viscosity in a Strongly Coupled Magnetized Plasma
- Holographic anyonization: A systematic approach
- Geometric Josephson junction
- Flowing holographic anyonic superfluid
- Properties of gapped systems in AdS/BCFT
- On S-duality for holographic p-wave superconductors
- Duality and modular symmetry in the quantum Hall effect from Lifshitz holography
- A renormalisation group equation for transport co-efficients in (2+1)-dimensions derived from the AdS/CMT correspondence
- Ward identities and relations between conductivities and viscosities in holography