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

Boyle Smith, Philip; Lin, Ying-Hsuan; Tachikawa, Yuji; Zheng, Yunqin

doi:10.21468/SciPostPhys.16.2.058

SciPost Physics

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

Philip Boyle Smith, Ying-Hsuan Lin, Yuji Tachikawa, Yunqin Zheng

SciPost Phys. 16, 058 (2024) · published 27 February 2024

doi: 10.21468/SciPostPhys.16.2.058
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Abstract

We classify two-dimensional purely chiral unitary 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.

TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.16.2.058
TI  - Classification of chiral fermionic CFTs of central charge $\le$ 16
PY  - 2024/02/27
UR  - https://www.scipost.org/SciPostPhys.16.2.058
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 16
IS  - 2
SP  - 058
A1  - Boyle Smith, Philip
AU  - Lin, Ying-Hsuan
AU  - Tachikawa, Yuji
AU  - Zheng, Yunqin
AB  - We classify two-dimensional purely chiral unitary 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.
ER  -

@Article{10.21468/SciPostPhys.16.2.058,
	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={SciPost Phys.},
	volume={16},
	pages={058},
	year={2024},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.16.2.058},
	url={https://scipost.org/10.21468/SciPostPhys.16.2.058},
}

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