Classification of chiral fermionic CFTs of central charge $\le 16$
High Energy Physics - Theory
2024-03-06 v2
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.
Keywords
Cite
@article{arxiv.2303.16917,
title = {Classification of chiral fermionic CFTs of central charge $\le 16$},
author = {Philip Boyle Smith and Ying-Hsuan Lin and Yuji Tachikawa and Yunqin Zheng},
journal= {arXiv preprint arXiv:2303.16917},
year = {2024}
}
Comments
29+13 pages; v2: published version, with many improvements in presentation thanks to comments by the referees