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Published November 18, 2022 | Submitted
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Operator spectroscopy for 4d SCFTs with a=c

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 N=2 or N=1 gauging of the flavor symmetry G of a collection of N=2 Argyres-Douglas theories of type Dp(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.

Additional Information

We thank Richard Derryberry for a helpful discussion. M.J.K. and C.L. thank the KAIX program of KAIST for support during the final stage of this work. M.J.K. is supported by Sherman Fairchild Postdoctoral Fellowship and the U.S. Department of Energy, Office of Science, Office of High Energy Physics, under Award Number DE-SC0011632. C.L. acknowledges support from DESY (Hamburg, Germany), a member of the Helmholtz Association HGF. K.H.L. and J.S. are partly supported by the NRF grant NRF-2020R1C1C1007591. The work of J.S. is also supported by POSCO Science Fellowship of POSCO TJ Park Foundation and a Start-up Research Grant for new faculty provided by KAIST.

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Created:
August 20, 2023
Modified:
October 24, 2023