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Distinguishing 6D (1, 0) SCFTs: An extension to the geometric construction

Distler, Jacques and Kang, Monica Jinwoo and Lawrie, Craig (2022) Distinguishing 6D (1, 0) SCFTs: An extension to the geometric construction. Physical Review D, 106 (6). Art. No. 066011. ISSN 2470-0010. doi:10.1103/physrevd.106.066011.

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We provide a new extension to the geometric construction of six-dimensional (6D) (1,0) superconformal field theories (SCFTs) that encapsulates Higgs branch structures with identical global symmetry but different spectra. In particular, we find that there exist distinct 6D (1,0) SCFTs that may appear to share their tensor branch description, flavor symmetry algebras, and central charges. For example, such subtleties arise for the very even nilpotent Higgsing of (so_(4k), so_(4k)) conformal matter; we propose a method to predict at which conformal dimension the Higgs branch operators of the two theories differ via augmenting the tensor branch description with the Higgs branch chiral ring generators of the building block theories. Torus compactifications of these 6D (1,0) SCFTs give rise to four-dimensional (4D) N = 2 SCFTs of class-S, and the Higgs branch of such 4D theories are captured via the Hall-Littlewood index. We confirm that the resulting 4D theories indeed differ in their spectra in the predicted conformal dimension from their Hall-Littlewood indices. We highlight how this ambiguity in the tensor branch description arises beyond the very even nilpotent Higgsing of (so_(4k), so_(4k)) conformal matter and hence should be understood for more general classes of 6D (1,0) SCFTs.

Item Type:Article
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URLURL TypeDescription
Kang, Monica Jinwoo0000-0002-0454-2064
Lawrie, Craig0000-0002-8061-0751
Additional Information:We thank Jonathan Heckman for comments on an earlier draft of this manuscript. We thank the Aspen Center for Physics, which is supported by National Science Foundation Grant No. PHY-1607611, for hospitality during the intermediate stage of this work. C. L. also thanks the California Institute of Technology for hospitality during the initial stage of this work. The work of J. D. is supported in part by the National Science Foundation under Grant No. PHY-1914679. M. J. K. is partially supported by a 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.
Group:Walter Burke Institute for Theoretical Physics
Funding AgencyGrant Number
Sherman Fairchild FoundationUNSPECIFIED
Department of Energy (DOE)DE-SC0011632
Deutsches Elektronen-SynchrotronUNSPECIFIED
Helmholtz-Gemeinschaft Deutscher Forschungszentren (HGF)UNSPECIFIED
Issue or Number:6
Record Number:CaltechAUTHORS:20221006-438893200.10
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:117283
Deposited By: Research Services Depository
Deposited On:14 Oct 2022 22:22
Last Modified:14 Oct 2022 22:22

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