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Classification of chiral fermionic CFTs of central charge $\le 16$

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arxiv 2303.16917 v2 pith:CAR66FD7 submitted 2023-03-29 hep-th

Philip Boyle Smith , Ying-Hsuan Lin , Yuji Tachikawa , Yunqin Zheng This is my paper
classification hep-th
keywords centralchargechiraltheoriestwo-dimensionalcftsclassificationclassify
verification ladder T0 review T1 audit T2 compute T3 formal
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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.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Heterotic Ouroboros

    hep-th 2026-04 unverdicted novelty 6.0 of 10

    The seven non-supersymmetric heterotic strings are re-derived from M-theory on S^1∨S^1 via an 'ouroboros' type I' configuration whose rules are fitted to reproduce the known spectra; new junctions among the theories a...

  2. Non-supersymmetric branes and discrete topological terms

    hep-th 2025-07 conditional novelty 6.0 of 10

    A direct computation from the tentative NS5-brane spectrum gives the opposite Z3 topological term (1/3 vs 2/3) from Tachikawa-Zhang, so the spectrum or the inflow interpretation must change.

  3. More on 8d non-supersymmetric branes and heterotic strings

    hep-th 2025-05 conditional novelty 6.0 of 10

    The E8 non-supersymmetric heterotic string on T^2 has exactly 22 maximal gauge enhancements, found by two independent methods, with massless spectra listed for each.

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