ABJM with Flavors and FQHE

By Yasuaki Hikida, Wei Li, T. Takayanagi. 2009

166 citations recorded by the source corpus.

We add fundamental matters to the = 6 Chern-Simons theory (ABJM theory), and show that D6-branes wrapped over AdS4 × S3/2 in type IIA superstring theory on AdS4 × 3 give its dual description with = 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.

Subfields: Atomic and Molecular Physics, and Optics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/f757126249ac0884b9b2d93b35f91e1ac3f16885

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Citations in the corpus

Nonperturbative aspects of ABJM theory (2011, result): “We will now confirm this by direct calculation, see [38, 39, 40] for similar considerations.”
D-brane charges in gravitational duals of 2 + 1 dimensional gauge theories and duality cascades (2009, background): “(2.22) In type IIA string theory we interpret the source as coming from D2-branes, D4-branes and D6-branes sitting at the origin, so we have Q2 = N2 + b0N4 + N6b 2 0 4 , (2.23) where b0 is the value of the b field at the position of the branes, and the source arises from the presence of the Chern-Si”
Chiral flavors and M2-branes at toric CY4 singularities (2009, background): “Flavoring AdS4/CFT3 pairs, the theory still flows to an interacting fixed point which however in many examples [27, 28, 29, 64, 65] (and in the ones of this paper too) is still described by type IIA/M-theory.”
ABJM theory as a Fermi gas (2011, background): “In particular, for the ABJM necklace (−k, k) with fundamental matter Nf1 = Nf2 = Nf first considered in [41]–[43], we have”
On string theory duals of Lifshitz-like fixed points (2009, methodology): “Our D3-D7 model was originally introduced to model the holographic dual of fractional quantum Hall effects in string theory [22] (refer to [36, 37, 38] for other holographic realizations of quantum Hall effects).”