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arXiv · 1903.02586

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

Antonio Amariti·Marco Fazzi·Noppadol Mekareeya·Anton Nedelin
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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.

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Antonio Amariti, Marco Fazzi, Noppadol Mekareeya, Anton Nedelin. 2019-03-06. New 3d $\mathcal{N}=2$ SCFT's with $N^{3/2}$ scaling. https://doi.org/10.1007/jhep12(2019)111

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