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ABJM with Flavors and FQHE

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abstract

We add fundamental matters to the N=6 Chern-Simons theory (ABJM theory), and show that D6-branes wrapped over AdS_4 x S^3/Z_2 in type IIA superstring theory on AdS_4 x CP^3 give its dual description with N=3 supersymmetry. We confirm this by the arguments based on R-symmetry, supersymmetry, and brane configuration of ABJM theory. We also analyze the fluctuations of the D6-brane and compute the conformal dimensions of dual operators. In the presence of fractional branes, the ABJM theory can model the fractional quantum Hall effect (FQHE), with RR-fields regarded as the external electric-magnetic field. We show that an addition of the flavor D6-brane describes a class of fractional quantum Hall plateau transition.

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2024 1

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representative citing papers

Cosmic Topological Defects from Holography

hep-th · 2024-11-28 · conditional · novelty 6.0

Using the Witten-Sakai-Sugimoto holographic model, the authors describe axionic cosmic string loops and domain walls as D6-brane embeddings, find a first-order transition between them, and show that large-baryon-charge vortons can be metastable with radius scaling as nB/λ.

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  • Cosmic Topological Defects from Holography hep-th · 2024-11-28 · conditional · none · ref 44 · internal anchor

    Using the Witten-Sakai-Sugimoto holographic model, the authors describe axionic cosmic string loops and domain walls as D6-brane embeddings, find a first-order transition between them, and show that large-baryon-charge vortons can be metastable with radius scaling as nB/λ.