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arXiv · 2210.06497

Operator spectroscopy for 4d SCFTs with a=c

Monica Jinwoo Kang·Craig Lawrie·Ki-Hong Lee·Jaewon Song
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Abstract

We study a rich set of four-dimensional superconformal field theories (SCFTs) with both central charges identical: $a = c$. These are constructed via the diagonal $\mathcal{N}=2$ or $\mathcal{N}=1$ gauging of the flavor symmetry $G$ of a collection of $\mathcal{N}=2$ Argyres-Douglas theories of type $\mathcal{D}_p(G)$, with or without adjoint chiral multiplets, in arXiv:2106.12579 and arXiv:2111.12092. We compute superconformal indices of some theories where the rank of $G$ is low, performing a refined test for unitarity, and further determine the relevant and marginal operator content in detail. We find that most of these theories flow to interacting SCFTs with $a=c$ in the infrared.

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Monica Jinwoo Kang, Craig Lawrie, Ki-Hong Lee, Jaewon Song. 2022-10-12. Operator spectroscopy for 4d SCFTs with a=c. https://arxiv.org/abs/2210.06497

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