Journal article
Fermionic rational conformal field theories and modular linear differential equations
- Abstract:
- We define modular linear differential equations (MLDE) for the level-two congruence subgroups Γθ, Γ0(2) and Γ0(2) of SL2(Z). Each subgroup corresponds to one of the spin structures on the torus. The pole structures of the fermionic MLDEs are investigated by exploiting the valence formula for the level-two congruence subgroups. We focus on the first- and second-order holomorphic MLDEs without poles and use them to find a large class of “fermionic rational conformal field theories” (fermionic RCFTs), which have non-negative integer coefficients in the q-series expansion of their characters. We study the detailed properties of these fermionic RCFTs, some of which are supersymmetric. This work also provides a starting point for the classification of the fermionic modular tensor category.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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(Preview, Version of record, 727.1KB, Terms of use)
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- Publisher copy:
- 10.1093/ptep/ptab033
Authors
- Publisher:
- Physical Society of Japan
- Journal:
- Progress of Theoretical and Experimental Physics More from this journal
- Volume:
- 2021
- Issue:
- 8
- Article number:
- 08B104
- Publication date:
- 2021-03-10
- Acceptance date:
- 2020-02-17
- DOI:
- EISSN:
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2050-3911
- Language:
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English
- Keywords:
- Pubs id:
-
1171743
- Local pid:
-
pubs:1171743
- Deposit date:
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2021-09-07
Terms of use
- Copyright holder:
- Bae et al.
- Copyright date:
- 2021
- Rights statement:
- © The Author(s) 2021. Published by Oxford University Press on behalf of the Physical Society of Japan. This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted reuse, distribution, and reproduction in any medium, provided the original work is properly cited. Funded by SCOAP3
- Licence:
- CC Attribution (CC BY)
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