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Infinitely many 4D N = 2 SCFTs with a = c and beyond

Kang, Monica Jinwoo and Lawrie, Craig and Song, Jaewon (2021) Infinitely many 4D N = 2 SCFTs with a = c and beyond. Physical Review D, 104 (10). Art. No. 105005. ISSN 2470-0010. doi:10.1103/PhysRevD.104.105005.

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We study a set of four-dimensional N=2 superconformal field theories (SCFTs) ^Γ(G) labeled by a pair of simply laced Lie groups Γ and G. They are constructed out of gauging a number of D_p(G) and (G,G) conformal matter SCFTs; therefore, they do not have Lagrangian descriptions in general. For Γ=D₄,E₆,E₇,E₈, and some special choices of G, the resulting theories have identical central charges (a=c) without taking any large N limit. Moreover, we find that the Schur indices for such theories can be written in terms of that of N=4 super-Yang-Mills theory upon rescaling fugacities. Especially, we find that the Schur index of ^D₄(SU(N)) theory for N odd is written in terms of MacMahon’s generalized sum-of-divisor function, which is quasimodular. For generic choices of Γ and G, it can be regarded as a generalization of the affine quiver gauge theory obtained from D3-branes probing singularity of type Γ. We also comment on a tantalizing connection regarding the theories labeled by Γ in the Deligne-Cvitanović exceptional series.

Item Type:Article
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URLURL TypeDescription Paper
Kang, Monica Jinwoo0000-0002-0454-2064
Lawrie, Craig0000-0002-8061-0751
Song, Jaewon0000-0002-1238-2435
Additional Information:© 2021 Published by the American Physical Society. 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. Received 31 August 2021; accepted 1 October 2021; published 9 November 2021. We thank Prarit Agarwal for providing us with an extensive database of Argyres-Douglas theories. We also thank Seungkyu Kim for helping us compute the Schur indices for higher-rank theories to high orders. C. L. was supported by a University Research Foundation grant at the University of Pennsylvania and U.S. DOE (HEP) Award No. DE-SC0021484. M. J. K. and J. S. are partly supported by the National Research Foundation of Korea (NRF) Grant No. NRF-2020R1C1C1007591. M. J. K. is also supported by NRF Grant No. NRF-2020R1A4A3079707, 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. J. S. is also supported by the Start-up Research Grant for new faculty provided by Korea Advanced Institute of Science and Technology (KAIST).
Group:Walter Burke Institute for Theoretical Physics
Funding AgencyGrant Number
University of PennsylvaniaUNSPECIFIED
Department of Energy (DOE)DE-SC0021484
National Research Foundation of KoreaNRF2020R1C1C1007591
National Research Foundation of KoreaNRF-2020R1A4A3079707
Sherman Fairchild FoundationUNSPECIFIED
Department of Energy (DOE)DE-SC0011632
Korea Advanced Institute of Science and Technology (KAIST)UNSPECIFIED
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Issue or Number:10
Record Number:CaltechAUTHORS:20210720-225934652
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:109946
Deposited By: Joy Painter
Deposited On:21 Jul 2021 15:51
Last Modified:08 Jun 2022 21:24

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