ABJM with Flavors and FQHE

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.

23 pages, Latex, no figures; (v2) references added, typos corrected

References in corpus (24)

• The Large N Limit of Superconformal Field Theories and Supergravity
• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Adding flavor to AdS/CFT
• Fractional M2-branes
• Type IIB Superstrings, BPS Monopoles, And Three-Dimensional Gauge Dynamics
• Superconformal Chern-Simons Theories and AdS_4/CFT_3 Correspondence
• Meson Spectroscopy in AdS/CFT with Flavour
• Quantum critical transport, duality, and M-theory
• Notes on Superconformal Chern-Simons-Matter Theories
• Holographic Phase Transitions with Fundamental Matter
• On Type IIA Penrose Limit and N=6 Chern-Simons Theories
• Fivebranes from gauge theory
• Fractional Quantum Hall Effect via Holography: Chern-Simons, Edge States, and Hierarchy
• Hyper-Kahler manifolds and multiply-intersecting branes
• Three-Dimensional Gauge Dynamics from Brane Configurations with (p,q)-Fivebrane
• Gravity Dual of a Quantum Hall Plateau Transition
• Branes and Supersymmetry Breaking in Three Dimensional Gauge Theories
• Quantum Hall Effect in AdS/CFT
• Non-Relativistic M2-brane Gauge Theory and New Superconformal Algebra
• Fuzzy Ring from M2-brane Giant Torus
• Phase Transitions of Large N Orbifold Gauge Theories
• R-charges, Chiral Rings and RG Flows in Supersymmetric Chern-Simons-Matter Theories
• D-branes in Massive IIA and Solitons in Chern-Simons Theory
• A family of super Schrodinger invariant Chern-Simons matter systems

Cited by in corpus (79)

• Aspects of AdS/BCFT
• ABJM theory as a Fermi gas
• Nonperturbative aspects of ABJM theory
• Chiral flavors and M2-branes at toric CY4 singularities
• Lectures on Generalized Complex Geometry for Physicists
• Holography, Entanglement Entropy, and Conformal Field Theories with Boundaries or Defects
• Quantum Hall Effect in a Holographic Model
• Striped instability of a holographic Fermi-like liquid
• D-brane Charges in Gravitational Duals of 2+1 Dimensional Gauge Theories and Duality Cascades
• Supersymmetric Wilson loops in N=4 super Chern-Simons-matter theory
• Gluon Scattering in AdS from CFT
• Large $N$ topologically twisted index: necklace quivers, dualities, and Sasaki-Einstein spaces
• Quantum moduli space of Chern-Simons quivers, wrapped D6-branes and AdS4/CFT3
• Unquenched flavor and tropical geometry in strongly coupled Chern-Simons-matter theories
• M-Theory on Deformed Superspace
• On AdS_4 x CP^3 T-duality
• On the gravity dual of Chern-Simons-matter theories with unquenched flavor
• AC Transport at Holographic Quantum Hall Transitions
• Refined test of AdS4/CFT3 correspondence for N=2,3 theories
• A holographic quantum Hall model at integer filling
• Infrared Stability of N=2 Chern-Simons Matter Theories
• Adding Flavor to AdS4/CFT3
• Infrared stability of ABJ-like theories
• Holographic anyonic superfluidity
• AdS/QHE: Towards a Holographic Description of Quantum Hall Experiments
• Entanglement Entropy for Probe Branes
• Unquenched massive flavors and flows in Chern-Simons matter theories
• SL(2,Z) Action on AdS/BCFT and Hall Conductivities
• Holographic RG flows on curved manifolds and the $F$-theorem
• Topological Insulators and Superconductors from String Theory
• The Quantum Hall Effect in Supersymmetric Chern-Simons Theories
• Thermodynamics of the brane in Chern-Simons matter theories with flavor
• Magneto-roton excitation in a holographic quantum Hall fluid
• Flux and Hall states in ABJM with dynamical flavors
• Holographic Conductivity in Disordered Systems
• Fluctuations of a holographic quantum Hall fluid
• On Large N Solution of Gaiotto-Tomasiello Theory
• Non-integrability and Chaos with Unquenched Flavor
• A holographic model for the fractional quantum Hall effect
• More Holographic Berezinskii-Kosterlitz-Thouless Transitions
• Eschenburg space as gravity dual of flavored N=4 Chern-Simons-matter theory
• Moduli Spaces of Cold Holographic Matter
• Horava-Lifshitz Gravity and Effective Theory of the Fractional Quantum Hall Effect
• Z-extremization and F-theorem in Chern-Simons matter theories
• Charged particle-like branes in ABJM
• Evidence for the Holographic dual of $\mathcal{N}=3$ Solution in Massive Type IIA
• M5-brane Defect and QHE in AdS_4 x N(1,1)/N=3 SCFT
• Penrose limits and spin chains in the GJV/CS-SYM duality
• On Fractional Quantum Hall Solitons in ABJM-like Theory
• The Conformal Manifold of Chern-Simons Matter Theories
• Embedding massive flavor in ABJM
• Non-Relativistic Supergeometry in the Moore-Read Fractional Quantum Hall State
• Holographic complexity of the disk subregion in (2+1)-dimensional gapped systems
• Thermal Aspects of ABJM theory: Currents and Condensations
• Holographic Anyons in the ABJM Theory
• Branes and massive IIA duals of 3d CFT's
• Integrable Open Spin Chains from Flavored ABJM Theory
• On thermodynamics of N=6 superconformal Chern-Simons theory
• Two-Loop Integrability of ABJM Open Spin Chain from Giant Graviton
• Holographical Description of BPS Wilson Loops in Flavored ABJM Theory
• Unquenched flavor on the Higgs branch
• Hall Viscosity in a Strongly Coupled Magnetized Plasma
• Quantum phase transitions with dynamical flavors
• Mass-Deformed Super Yang-Mills Theories from M2-Branes with Flux
• Coisotropic D-branes on AdS4 x CP3 and massive deformations
• Exact results for Wilson loops in orbifold ABJM theory
• The D3-probe-D7 brane holographic fractional topological insulator
• BCJ Amplitude Relations for Anti-de Sitter Boundary Correlators in Embedding Space
• Flavored ABJM theory on the sphere and holographic F-functions
• Solutions For Scalar Equations in AdS_4 with Adomian Method and Boundary CFT_3 Duals
• Notes on Integrable Boundary Interactions of Open $SU(4)$ Alternating Spin Chains
• A new large-N limit and the planar equivalence outside the planar limit
• Flavors of entanglement
• 1/2-BPS D-branes from covariant open superstring in AdS${}_4\times {\mathbf{CP}}^3$ background
• Superconformal Chern-Simons theories beyond leading order
• Dualities from large N orbifold equivalence in Chern-Simons-matter theories with flavor
• New Gauged Linear Sigma Models for 8D HyperKahler Manifolds and Calabi-Yau Crystals
• Exact beta-functions in softly-broken N=2 Chern-Simons matter theories
• Semiclassics of three-dimensional SCFTs from holography