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Two 6d origins of 4d SCFTs: class S and 6d (1,0) on a torus

Baume, Florent and Kang, Monica Jinwoo and Lawrie, Craig (2021) Two 6d origins of 4d SCFTs: class S and 6d (1,0) on a torus. . (Unpublished)

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We consider all 4d N = 2 theories of class S arising from the compactification of exceptional 6d (2, 0) SCFTs on a three-punctured sphere with a simple puncture. We find that each of these 4d theories has another origin as a 6d (1, 0) SCFT compactified on a torus, which we check by identifying and comparing the central charges and the flavor symmetry. Each 6d theory is identified with a complex structure deformation of (e_n, e_n) minimal conformal matter, which corresponds to a Higgs branch renormalization group flow. We find that this structure is precisely replicated by the partial closure of the punctures in the class S construction. We explain how the plurality of origins makes manifest some aspects of 4d SCFTs, including flavor symmetry enhancements and determining if it is a product SCFT. We further highlight the string theoretic basis for this identification of 4d theories from different origins via mirror symmetry.

Item Type:Report or Paper (Discussion Paper)
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URLURL TypeDescription Paper
Kang, Monica Jinwoo0000-0002-0454-2064
Additional Information:We thank Philip Argyres, Jonathan Heckman, and Mario Martone for helpful discussions. F.B. thanks the Instituto de Física Teórica de Madrid for hospitality. C.L. thanks the Center for Theoretical Physics of the Universe at the Institute for Basic Science for hospitality during the final stages of this work. F.B. is supported by the Swiss National Science Foundation (SNSF) grant number P400P2 194341. M.J.K. is supported by a Sherman Fairchild Postdoctoral Fellowship and the National Research Foundation of Korea (NRF) grants NRF2020R1C1C1007591 and NRF-2020R1A4A3079707. This material is based upon work supported by the U.S. Department of Energy, Office of Science, Office of High Energy Physics, under Award Number DE-SC0011632. The work of C.L. was supported by a University Research Foundation grant at the University of Pennsylvania and DOE (HEP) Award DESC0021484.
Group:Walter Burke Institute for Theoretical Physics
Funding AgencyGrant Number
National Research Foundation of KoreaNRF-2020R1C1C1007591
National Research Foundation of KoreaNRF-2020R1A4A3079707
Department of Energy (DOE)DE-SC0011632
Department of Energy (DOE)DE-SC0021484
Swiss National Science Foundation (SNSF)P400P2_194341
University of PennsylvaniaUNSPECIFIED
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Record Number:CaltechAUTHORS:20210720-230517791
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:109947
Deposited By: Joy Painter
Deposited On:21 Jul 2021 16:08
Last Modified:21 Jul 2021 16:08

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