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3d TQFTs from Argyres-Douglas theories

Dedushenko, Mykola and Gukov, Sergei and Nakajima, Hiraku and Pei, Du and Ye, Ke (2018) 3d TQFTs from Argyres-Douglas theories. . (Submitted) http://resolver.caltech.edu/CaltechAUTHORS:20180915-165620259

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Abstract

We construct a new class of three-dimensional topological quantum field theories (3d TQFTs) by considering generalized Argyres-Douglas theories on S 1 × 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:Report or Paper (Discussion Paper)
Related URLs:
URLURL TypeDescription
http://arxiv.org/abs/1809.04638arXivDiscussion Paper
ORCID:
AuthorORCID
Pei, Du0000-0001-5587-6905
Ye, Ke0000-0002-2978-2013
Additional Information: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). The research of HN was supported in part by the World Premier International Research Center Initiative (WPI Initiative), MEXT, Japan, and by JSPS Grant Number 16H06335.
Group:Walter Burke Institute for Theoretical Physics
Funders:
Funding AgencyGrant Number
Department of Energy (DOE)DE-SC0011632
Sherman Fairchild FoundationUNSPECIFIED
NSFDMS-1664240
Danish National Research FoundationDNRF95
Ministry of Education, Culture, Sports, Science and Technology (MEXT)UNSPECIFIED
Japan Society for the Promotion of Science (JSPS)16H06335
Other Numbering System:
Other Numbering System NameOther Numbering System ID
CALT-TH2018-033
Record Number:CaltechAUTHORS:20180915-165620259
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20180915-165620259
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:89664
Collection:CaltechAUTHORS
Deposited By: Joy Painter
Deposited On:17 Sep 2018 14:51
Last Modified:17 Sep 2018 14:51

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