Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 7, Pages -Publisher
SPRINGER
DOI: 10.1088/1126-6708/2009/07/065
Keywords
D-branes; AdS-CFT Correspondence; Chern-Simons Theories
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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 CP3 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 transitions.
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