Quantum moduli space of Chern-Simons quivers, wrapped D6-branes and AdS4/CFT3

Abstract

We study the quantum moduli space of N=2 Chern-Simons quivers with generic ranks and CS levels, proving along the way exact formulas for the charges of bare monopole operators. We then derive N=2 Chern-Simons quiver theories dual to AdS_4 x Y^{p,q}(CP2) M-theory backgrounds, for the whole family of Sasaki-Einstein seven-manifolds and for any value of the torsion G_4 flux. The derivation of the gauge theories relies on the reduction to type IIA string theory, in which M2-branes become D2-branes while the conical geometry maps to RR flux and D6-branes wrapped on compact four-cycles. M5-branes on torsion cycles map to flux and wrapped D4-branes. The moduli space of the quiver is shown to contain the corresponding CY_4 cone and all its crepant resolutions.

49+20 pages, 6 figures; v2: typos fixed, references added, 49+21 pages

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• Algebraic structures on parallel M2-branes
• Modeling Multiple M2's
• Fractional M2-branes
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• Brane Tilings and M2 Branes
• Supersymmetry enhancement by monopole operators
• AdS_4/CFT_3 -- Squashed, Stretched and Warped
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• ABJM with Flavors and FQHE
• New supersymmetric AdS4 type II vacua
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• Phases of M2-brane Theories
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Cited by in corpus (47)

• Black hole microstates in AdS${}_4$ from supersymmetric localization
• Comments on 3d Seiberg-like dualities
• Two-dimensional SCFTs from wrapped branes and c-extremization
• Supersymmetry on Curved Spaces and Holography
• Comments on twisted indices in 3d supersymmetric gauge theories
• Higgs branch localization in three dimensions
• Large $N$ matrix models for 3d $\mathcal{N}=2$ theories: twisted index, free energy and black holes
• Five-dimensional SCFTs and gauge theory phases: an M-theory/type IIA perspective
• SUSY monopole potentials in 2+1 dimensions
• Anomalous dimensions of monopole operators in three-dimensional quantum electrodynamics
• Symmetry TFTs for 3d QFTs from M-theory
• Three-sphere free energy for classical gauge groups
• Monopole Operators in $U(1)$ Chern-Simons-Matter Theories
• Flipping the head of T[SU(N)]: mirror symmetry, spectral duality and monopoles
• Three-dimensional $\mathcal{N}=2$ supersymmetric gauge theories and partition functions on Seifert manifolds: A review
• On the gravity dual of Chern-Simons-matter theories with unquenched flavor
• Rank-two 5d SCFTs from M-theory at isolated toric singularities: a systematic study
• The Large N Limit of Toric Chern-Simons Matter Theories and Their Duals
• Partition functions on 3d circle bundles and their gravity duals
• Coulomb Branch Quantization and Abelianized Monopole Bubbling
• Zero-form and one-form symmetries of the ABJ and related theories
• Non-unitary TQFTs from 3D $\mathcal{N}=4$ rank 0 SCFTs
• The moduli spaces of $3d$ $\mathcal{N}\ge 2$ Chern-Simons gauge theories and their Hilbert series
• Monopole operators from the $4-\epsilon$ expansion
• Chern-Simons and RG Flows: Contact with Dualities
• Toric Fano varieties and Chern-Simons quivers
• Free Energy vs Sasaki-Einstein Volume for Infinite Families of M2-Brane Theories
• Holographic RG flows in N=3 Chern-Simons-Matter theory from N=3 4D gauged supergravity
• Tests of AdS${}_4$/CFT${}_3$ correspondence for $\mathcal{N}=2$ chiral-like theory
• Double Handled Brane Tilings
• Z Extremization in Chiral-Like Chern Simons Theories
• On dimensional reduction of 4d N=1 Lagrangians for Argyres-Douglas theories
• Black hole microstates and supersymmetric localization
• Twisted indices, Bethe ideals and 3d $\mathcal{N}=2$ infrared dualities
• Elliptic non-Abelian Donaldson-Thomas invariants of ${\mathbb{C}}^3$
• Seiberg duality for Chern-Simons quivers and D-brane mutations
• Monopole operators, moduli spaces and dualities
• Anomalous dimensions of monopole operators in scalar QED${}_3$ with Chern-Simons term
• The Space of Vacua of 3d $\mathcal{N}=3$ Abelian Theories
• Exact results and Schur expansions in quiver Chern-Simons-matter theories
• Three dimensional Seiberg-like duality and tropical cluster algebra
• The Hilbert series of 3d N=2 Yang-Mills theories with vectorlike matter
• Geometric free energy of toric AdS4/CFT3 models
• Large-$N$ Free Energy of Chiral $\mathcal{N}=2$ Chern-Simons-Matter Theories
• The braneology of 3D dualities
• Semiclassics of three-dimensional SCFTs from holography
• The AdS/CFT Correspondence and Symmetry Breaking