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

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.

arXiv comment29+13 pages; v2: published version, with many improvements in presentation thanks to comments by the referees

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• The Higgs branch of Heterotic ALE instantons
• On a ${\mathbb{Z}}_3$-valued discrete topological term in 10d heterotic string theories
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• Operator-state correspondence in simple current extended conformal field theories: Toward a general understanding of chiral conformal field theories and topological orders
• Bridging 4D QFTs and 2D VOAs via 3D high-temperature EFTs
• Fermionic CFTs from topological boundaries in abelian Chern-Simons theories
• Unitarity and strong graded locality of holomorphic vertex operator superalgebras with central charge at most 24
• Heterotic Ouroboros