Type IIB construction of flavoured ABJ(M) and fractional M2 branes

Abstract

We study type IIB brane configurations engineering 3d flavoured ABJ(M) theories with Yang-Mills kinetic terms, which flow to IR fixed points describing M2 branes at a class of toric Calabi-Yau fourfold singularities. The type IIB construction provides a bridge between M-theory geometry and field theory, and allows to identify the superconformal field theories with fixed quiver diagram, Chern-Simons levels and superpotential, differing by the ranks of the gauge groups, which we associate to dual AdS_4\timesY_7 backgrounds of M-theory without or with torsion G-fluxes sourced by fractional M2 branes in Y_7, when Y_7 is smooth. The analysis includes the Q^{1,1,1} and Y^{1,2}(CP^2) geometries. We also comment on duality cascades and on the interplay between torsion G-fluxes in M-theory and partial resolutions.

arXiv comment38 pages, 17 figures; v2: references added; v3: abstract slightly modified, discussion expanded with more emphasis on smooth Sasaki-Einstein geometries. 41 pages, version published on JHEP

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Cited by in corpus (18)

• Towards the F-Theorem: N=2 Field Theories on the Three-Sphere
• Comments on 3d Seiberg-like dualities
• Comments on twisted indices in 3d supersymmetric gauge theories
• 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
• 3d N=2 mirror symmetry, pq-webs and monopole superpotentials
• Geometry of $\mathcal{I}$-extremization and black holes microstates
• The moduli spaces of $3d$ $\mathcal{N}\ge 2$ Chern-Simons gauge theories and their Hilbert series
• Toric Fano varieties and Chern-Simons quivers
• Universal Logarithmic Behavior in Microstate Counting and the Dual One-loop Entropy of AdS${}_4$ Black Holes
• Dualities for three-dimensional $\mathcal{N}=2$ $SU(N_c)$ chiral adjoint SQCD
• Aspects of ABJ Theory
• Non-anticommutative ABJ Theory
• Twisted indices, Bethe ideals and 3d $\mathcal{N}=2$ infrared dualities
• Seiberg duality for Chern-Simons quivers and D-brane mutations
• On the Witten index of 3d $\mathcal{N}=2$ unitary SQCD with general CS levels
• Polyakov Loops for the ABJ Theory
• Semiclassics of three-dimensional SCFTs from holography