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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. . (Unpublished)

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We study a set of four-dimensional N = 2 superconformal field theories (SCFTs) Γ( b G) labeled by a pair of simply-laced Lie groups Γ and G. They are constructed out of gauging a number of Dp(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 Db4(SU(N)) theory for N odd is written in terms of MacMahon’s generalized sum-of-divisor function, which is quasi-modular. 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 an ALE singularity of type Γ. We also comment on a tantalizing connection regarding the theories labeled by Γ in the Deligne–Cvitanovi´c exceptional series.

Item Type:Report or Paper (Discussion Paper)
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URLURL TypeDescription Paper
Kang, Monica Jinwoo0000-0002-0454-2064
Song, Jaewon0000-0002-1238-2435
Additional Information:We thank Prarit Agarwal for providing us 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 DOE (HEP) Award DE-SC0021484. M.J.K. and J.S. are partly supported by the National Research Foundation of Korea (NRF) grant NRF2020R1C1C1007591. M.J.K. is also supported by NRF-2020R1A4A3079707, a Sherman Fairchild Postdoctoral Fellowship, and the U.S. Department of Energy, Office of Science, Office of High Energy Physics, under Award Number 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
Department of Energy (DOE)DE-SC0021484
National Research Foundation of KoreaNRF2020R1C1C1007591
National Research Foundation of KoreaNRF-2020R1A4A3079707
Department of Energy (DOE)DE-SC0011632
Sherman Fairchild FoundationUNSPECIFIED
University of PennsylvaniaUNSPECIFIED
Korea Advanced Institute of Science and Technology (KAIST)UNSPECIFIED
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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:21 Jul 2021 15:51

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