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Published June 9, 2023 | Version Published
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Emergent 𝒩=4 Supersymmetry from 𝒩=1

Creators

  • 1. ROR icon California Institute of Technology
  • 2. ROR icon Deutsches Elektronen-Synchrotron DESY
  • 3. ROR icon Korea Advanced Institute of Science and Technology

Abstract

We discover a four-dimensional 𝒩=1 supersymmetric field theory that is dual to the 𝒩=4 super Yang-Mills theory with gauge group SU⁢(2⁢𝑛+1) for each 𝑛. The dual theory is constructed through the diagonal gauging of the SU⁢(2⁢𝑛+1) flavor symmetry of three copies of a strongly coupled superconformal field theory (SCFT) of Argyres-Douglas type. We find that this theory flows in the infrared to a strongly coupled 𝒩=1 SCFT that lies on the same conformal manifold as 𝒩=4 super Yang-Mills with gauge group SU⁢(2⁢𝑛+1). Our construction provides a hint on why certain 𝒩=1, 2 SCFTs have identical central charges (𝑎=𝑐).

Copyright and License

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.

Funding

Funded by SCOAP3.

Acknowledgement

We thank Jacques Distler for helpful discussions. C. L. and J. S. thank the California Institute of Technology for hospitality where this work was conceived. 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 supported by the National Research Foundation of Korea (NRF) Grant No. 2020R1C1C1007591, RS-2023-00208602, and also by POSCO Science Fellowship of POSCO TJ Park Foundation.

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Additional details

Identifiers

ISSN
1079-7114

Funding

SCOAP3
Sherman Fairchild Foundation
United States Department of Energy
DE-SC0011632
Deutsches Elektronen-Synchrotron DESY
National Research Foundation of Korea
2020R1C1C1007591
National Research Foundation of Korea
RS-2023-00208602
POSCO TJ Park Foundation

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Caltech groups
Walter Burke Institute for Theoretical Physics