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Published March 15, 2023 | Published
Journal Article Open

Operator Spectroscopy for 4D SCFTs with a = c

Abstract

We study a rich set of four-dimensional superconformal field theories 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 2106.12579 and 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 superconformal field theories with a=c in the infrared.

Additional Information

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. Funded by SCOAP3. 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 No. 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 No. 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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Additional details

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