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.

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

References in corpus (10)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Fractional M2-branes
• Fractional Quantum Hall Effect via Holography: Chern-Simons, Edge States, and Hierarchy
• Gravity Dual of a Quantum Hall Plateau Transition
• ABJM with Flavors and FQHE
• Open string modes at brane intersections
• Chiral anomalies and AdS/CMT in two dimensions
• N=6 Superspace Constraints, SUSY Enhancement and Monopole Operators
• Moore-Read Fractional Quantum Hall wavefunctions and SU(2) quiver gauge theories
• Flavor from M5-branes

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• New Janus interfaces from four-dimensional N=3 gauged supergravity
• On Mass Gap in Type IIB Quantum Hall Solitons