Conformal Field Theory; Field Theories in Lower Dimensions; Nuclear and High Energy Physics; High Energy Physics - Theory
Abstract :
[en] Recently, the modular linear differential equation (MLDE) for level-two congruence subgroups Γθ, Γ0(2) and Γ0(2) of SL2(ℤ) was developed and used to classify the fermionic rational conformal field theories (RCFT). Two character solutions of the second-order fermionic MLDE without poles were found and their corresponding CFTs are identified. Here we extend this analysis to explore the landscape of three character fermionic RCFTs obtained from the third-order fermionic MLDE without poles. Especially, we focus on a class of the fermionic RCFTs whose Neveu-Schwarz sector vacuum character has no free-fermion currents and Ramond sector saturates the bound hR ≥ C24, which is the unitarity bound for the supersymmetric case. Most of the solutions can be mapped to characters of the fermionized WZW models. We find the pairs of fermionic CFTs whose characters can be combined to produce K(τ), the character of the c = 12 fermionic CFT for Co0 sporadic group.
Disciplines :
Physics
Author, co-author :
Bae, Jin-Beom; Mathematical Institute, University of Oxford, Oxford, United Kingdom
Duan, Zhihao; Korea Institute for Advanced Study, Seoul, South Korea
Lee, Kimyeong; Korea Institute for Advanced Study, Seoul, South Korea
Lee, Sungjay; Korea Institute for Advanced Study, Seoul, South Korea
SARKIS, Matthieu ; University of Luxembourg > Faculty of Science, Technology and Medicine (FSTM) > Department of Physics and Materials Science (DPHYMS) ; Korea Institute for Advanced Study, Seoul, South Korea
External co-authors :
yes
Language :
English
Title :
Bootstrapping fermionic rational CFTs with three characters
Publication date :
18 January 2022
Journal title :
Journal of High Energy Physics
ISSN :
1126-6708
eISSN :
1029-8479
Publisher :
Springer Science and Business Media Deutschland GmbH
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