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.

38 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

References in corpus (12)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Fractional M2-branes
• Seiberg Duality in Chern-Simons Theory
• Sasaki-Einstein Manifolds and Volume Minimisation
• Brane Tilings and M2 Branes
• Towards M2-brane Theories for Generic Toric Singularities
• Quiver Chern-Simons theories and crystals
• Gauge Theories at Resolved and Deformed Singularities using Dimers
• N=4 Chern-Simons theories and wrapped M-branes in their gravity duals
• Toric Calabi-Yau four-folds dual to Chern-Simons-matter theories
• ABJM Mirrors and a Duality of Dualities
• M2-brane Probe Dynamics and Toric Duality

Cited by in corpus (7)

• The moduli spaces of $3d$ $\mathcal{N}\ge 2$ Chern-Simons gauge theories and their Hilbert series
• 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
• 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
• Semiclassics of three-dimensional SCFTs from holography