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3d TQFTs from Argyres–Douglas theories

Dedushenko, Mykola and Gukov, Sergei and Nakajima, Hiraku and Pei, Du and Ye, Ke (2020) 3d TQFTs from Argyres–Douglas theories. Journal of Physics A: Mathematical and General, 53 (43). Art. No. 43LT01. ISSN 0305-4470. doi:10.1088/1751-8121/abb481.

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We construct a new class of three-dimensional topological quantum field theories (3d TQFTs) by considering generalized Argyres–Douglas theories on S¹ × M₃ with a non-trivial holonomy of a discrete global symmetry along the S¹. For the minimal choice of the holonomy, the resulting 3d TQFTs are non-unitary and semisimple, thus distinguishing themselves from theories of Chern–Simons and Rozansky–Witten types respectively. Changing the holonomy performs a Galois transformation on the TQFT, which can sometimes give rise to more familiar unitary theories such as the (G₂)₁ and (F₄)₁ Chern–Simons theories. Our construction is based on an intriguing relation between topologically twisted partition functions, wild Hitchin characters, and chiral algebras which, when combined together, relate Coulomb branch and Higgs branch data of the same 4d N = 2 theory. We test our proposal by applying localization techniques to the conjectural N = 1 UV Lagrangian descriptions of the (A₁, A₂), (A₁, A₃) and (A₁, D₃) theories.

Item Type:Article
Related URLs:
URLURL TypeDescription Paper
Dedushenko, Mykola0000-0002-9273-7602
Gukov, Sergei0000-0002-9486-1762
Pei, Du0000-0001-5587-6905
Ye, Ke0000-0002-2978-2013
Additional Information:© 2020 IOP Publishing Ltd. Received 24 February 2020; Revised 27 August 2020; Accepted 2 September 2020; Published 8 October 2020. We thank J E Andersen, B Feigin, L Fredrickson, K Maruyoshi and N Nekrasov for interesting discussions. The work of MD, SG, DP and KY was supported by the Walter Burke Institute for Theoretical Physics and the U.S. Department of Energy, Office of Science, Office of High Energy Physics, under Award No. DE-SC0011632. The work of MD was also supported by the Sherman Fairchild Foundation. The work of SG was also supported by the National Science Foundation under Grant No. NSF DMS 1664240. The work of DP was also supported in part by the center of excellence grant 'Center for Quantum Geometry of Moduli Space' from the Danish National Research Foundation (DNRF95) and the Center for Mathematical Sciences and Applications. The research of HN was supported in part by the World Premier International Research Center Initiative (WPI Initiative), MEXT, Japan, and by JSPS Grant No. 16H06335.
Group:Walter Burke Institute for Theoretical Physics
Funding AgencyGrant Number
Walter Burke Institute for Theoretical Physics, CaltechUNSPECIFIED
Department of Energy (DOE)DE-SC0011632
Sherman Fairchild FoundationUNSPECIFIED
Danish National Research FoundationDNRF95
Ministry of Education, Culture, Sports, Science and Technology (MEXT)UNSPECIFIED
Japan Society for the Promotion of Science (JSPS)16H06335
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Issue or Number:43
Record Number:CaltechAUTHORS:20180915-165620259
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Official Citation:Mykola Dedushenko et al 2020 J. Phys. A: Math. Theor. 53 43LT01
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:89664
Deposited By: Joy Painter
Deposited On:17 Sep 2018 14:51
Last Modified:12 Jul 2022 19:41

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