New 3d $\mathcal{N}=2$ SCFT's with $N^{3/2}$ scaling

Abstract

We construct several novel examples of 3d $\mathcal{N}=2$ models whose free energy scales as $N^{3/2}$ at large $N$. This is the first step towards the identification of field theories with an M-theory dual. Furthermore, we match the volumes extracted from the free energy with the ones computed from the Hilbert series. We perform a similar analysis for the 4d parents of the 3d models, matching the volume extracted from the $a$ conformal anomaly to that obtained from the Hilbert series. For some of the 4d models, we show the existence of a Sasaki-Einstein metric on the internal space of the candidate type IIB gravity dual.

arXiv comment33+34 pages, 4 appendices, 7 figures, 3 tables; v2: references added, minor corrections; v3: version published in JHEP

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• Topologically twisted index of $T[SU(N)]$ at large $N$
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• Expanding on the Cardy-like limit of the superconformal index of 4d $\mathcal{N}=1$ ABCD SCFTs
• $\mathcal{N}=1$ conformal dualities from unoriented chiral quivers
• Phases of $\mathcal{N}=1$ Quivers in $2+1$ Dimensions
• Futaki Invariants and Reflexive Polygons
• Sequential deconfinement in $3d$ $\mathcal{N}=2$ gauge theories
• Large $N$ limits of supersymmetric quantum field theories: A pedagogical overview