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Classification of chiral fermionic CFTs of central charge $\le 16$
by Philip Boyle Smith, Ying-Hsuan Lin, Yuji Tachikawa, Yunqin Zheng
This Submission thread is now published as
Submission summary
| Authors (as registered SciPost users): | Yuji Tachikawa |
| Submission information | |
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| Preprint Link: | scipost_202311_00013v2 (pdf) |
| Date accepted: | Jan. 31, 2024 |
| Date submitted: | Jan. 19, 2024, 3:05 a.m. |
| Submitted by: | Yuji Tachikawa |
| Submitted to: | SciPost Physics |
| Ontological classification | |
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| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
Abstract
We classify two-dimensional purely chiral conformal field theories which are defined on two-dimensional surfaces equipped with spin structure and have central charge less than or equal to 16, and discuss their duality webs. This result can be used to confirm that the list of non-supersymmetric ten-dimensional heterotic string theories found in the late 1980s is complete and does not miss any exotic example.
Author comments upon resubmission
We thank the referees for the constructive feedback. We made a revision following the referee 2's suggestion. We hope that the latest version is now acceptable for publication.
List of changes
The only remaining issue was the one weakness pointed out by the referee 2. We added a new footnote 7 concerning this point, and cited two references ( https://arxiv.org/abs/2305.01012 and https://arxiv.org/abs/2401.04223 ) which provided a detailed discussion of this issue there.
We also referred to this footnote from the main table summarizing our results.
We also referred to this footnote from the main table summarizing our results.
Published as SciPost Phys. 16, 058 (2024)