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arXiv · 1609.08156

$\mathcal{N} = 1$ superconformal theories with $D_N$ blocks

Marco Fazzi·Simone Giacomelli
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Abstract

We study the chiral ring of four-dimensional superconformal field theories obtained by wrapping M5-branes on a complex curve inside a Calabi-Yau three-fold. We propose a field theoretic construction of all the theories found by Bah, Beem, Bobev and Wecht by introducing new building blocks, and prove several $\mathcal{N} = 1$ dualities featuring the latter. We match the central charges with those computed from the M5-brane anomaly polynomial, perform the counting of relevant operators and analyze unitarity bound violations. As a byproduct, we compute the exact dimension of "heavy operators" obtained by wrapping an M2-brane on the complex curve.

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Marco Fazzi, Simone Giacomelli. 2016-09-26. $\mathcal{N} = 1$ superconformal theories with $D_N$ blocks. https://doi.org/10.1103/physrevd.95.085010

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