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

TL;DR

This paper investigates the gravity dual of a 3D N=3 Chern-Simons-matter theory using M5-branes in AdS4 x N(1,1), deriving the quantized Hall conductivity and analyzing the defect structure in the dual gauge theory.

Contribution

It introduces a novel M5-brane configuration in AdS4 x N(1,1) and computes the resulting Hall conductivity in the dual gauge theory.

Findings

Derivation of quantized Hall conductivity from M5-brane setup

Identification of a codimension-one defect in the gauge theory

Analysis of M5-brane boundary conditions in AdS4

Abstract

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.