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

Physics – High Energy Physics – High Energy Physics - Theory

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4 pages, no figures; v2: references added and minor changes v3: references added, version accepted for publication in Phys. Re

Scientific paper

10.1103/PhysRevD.83.105016

We study the $d=11$ gravity dual $AdS_4\times N(1,1)$ 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 $AdS_4$ 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.

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