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Duality Defect of the Monster CFT

Lin, Ying-Hsuan and Shao, Shu-Heng (2019) Duality Defect of the Monster CFT. . (Submitted) https://resolver.caltech.edu/CaltechAUTHORS:20191106-101344650

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Abstract

We show that the fermionization of the Monster CFT with respect to Z2A is the tensor product of a free fermion and the Baby Monster CFT. The chiral fermion parity of the free fermion implies that the Monster CFT is self-dual under the Z2A orbifold, i.e. it enjoys the Kramers-Wannier duality. The Kramers-Wannier duality defect extends the Monster group to a larger category of topological defect lines that contains an Ising subcategory. We introduce the defect McKay-Thompson series defined as the Monster partition function twisted by the duality defect, and find that the coefficients can be decomposed into the dimensions of the (projective) irreducible representations of the Baby Monster group. We further prove that the defect McKay-Thompson series is invariant under the genus-zero congruence subgroup 16D0 of PSL(2,Z).


Item Type:Report or Paper (Discussion Paper)
Related URLs:
URLURL TypeDescription
http://arxiv.org/abs/1911.00042arXivDiscussion Paper
ORCID:
AuthorORCID
Lin, Ying-Hsuan0000-0001-8904-1287
Shao, Shu-Heng0000-0003-1294-2786
Additional Information:We thank Nathan Benjamin, Meng Cheng, Wenjie Ji, Petr Kravchuk, Theo Johnson-Freyd, Natalie Paquette, and Xiao-Gang Wen for discussions. SHS would like to thank Kantaro Ohmori and Nathan Seiberg for useful discussions on global symmetries in bosonic and fermionic QFTs. We thank Theo Johnson-Freyd for comments on the draft. YL is supported by the Sherman Fairchild Foundation, and by the U.S. Department of Energy, Office of Science, Office of High Energy Physics, under Award Number DE-SC0011632. The work of SHS is supported by the Simons Foundation/SFARI (651444, NS).
Group:Walter Burke Institute for Theoretical Physics
Funders:
Funding AgencyGrant Number
Department of Energy (DOE)DE-SC0011632
Simons Foundation651444
Sherman Fairchild FoundationUNSPECIFIED
Other Numbering System:
Other Numbering System NameOther Numbering System ID
CALT-TH2019-043
Record Number:CaltechAUTHORS:20191106-101344650
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20191106-101344650
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:99690
Collection:CaltechAUTHORS
Deposited By: Joy Painter
Deposited On:06 Nov 2019 18:28
Last Modified:06 Nov 2019 18:28

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