M5-brane Defect and QHE in AdS_4 x N(1,1)/N=3 SCFT

Abstract

We study the $d=11$ gravity dual $Ad{S}_4\times N(1,1)$ of the $d=3$ $\mathcal{N}=3$ flavored Chern-Simons-matter (CSM) theory. In the dual gravity side, we analyze the M5-brane making the edge on the boundary of $Ad{S}_4$ and derive the quantized Hall conductivity of the dual gauge theory. In the gauge theory side, this M5-brane intersects the gauge theory at the codimension-one defect.

arXiv comment4 pages, no figures; v2: references added and minor changes v3: references added, version accepted for publication in Phys. Rev. D

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• From Maxwell-Chern-Simons theory in $Ad{S}_3$ towards hydrodynamics in 1+1 dimensions
• On Fractional Quantum Hall Solitons in ABJM-like Theory
• A Holographic Model of Quantum Hall Transition
• Hall Viscosity in a Strongly Coupled Magnetized Plasma
• New Janus interfaces from four-dimensional N=3 gauged supergravity
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• On Fractional Quantum Hall Solitons and Chern-Simons Quiver Gauge Theories
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