Categorical structure of the set of all CFTs

We identify a categorical structure of the set of all conformal field theories (CFTs). In particular, we show that the set of all CFTs has a natural monoidal strict 2-category structure with the 1-morphisms being sequences of deformations and 2-morphisms determined by 0-form symmetries of the CFTs.

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Veröffentlicht in:Physical review. D 2024-07, Vol.110 (2), Article 025019
Hauptverfasser: Ben Zeev, Rotem, Ergun, Behzat, Milan, Elisa, Razamat, Shlomo S.
Format: Artikel
Sprache:eng
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Zusammenfassung:We identify a categorical structure of the set of all conformal field theories (CFTs). In particular, we show that the set of all CFTs has a natural monoidal strict 2-category structure with the 1-morphisms being sequences of deformations and 2-morphisms determined by 0-form symmetries of the CFTs.
ISSN:2470-0010
2470-0029
DOI:10.1103/PhysRevD.110.025019