Quantum and logarithmic vertex operator algebras at -central charge

  • Terry Gannon

    University of Alberta, Edmonton, Canada
  • Cris Negron

    University of Southern California, Los Angeles, USA
Quantum $\operatorname{SL}(2)$ and logarithmic vertex operator algebras at $(p,1)$-central charge cover
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Abstract

We provide a ribbon tensor equivalence between the representation category of small quantum , at parameter , and the representation category of the triplet vertex operator algebra at integral parameter . We provide similar quantum group equivalences for representation categories associated to the Virasoro and singlet vertex operator algebras at central charge . These results resolve a number of fundamental conjectures coming from studies of logarithmic CFTs in type .

Cite this article

Terry Gannon, Cris Negron, Quantum and logarithmic vertex operator algebras at -central charge. J. Eur. Math. Soc. (2024), published online first

DOI 10.4171/JEMS/1489