The symplectic fermion ribbon quasi-Hopf algebra and the \(S L(2, \mathbb{Z})\)-action on its centre

DOI10.1016/j.aim.2022.108247OpenAlexW4214547790MaRDI QIDQ2125983

Azat M. Gainutdinov, V. Farsad, Ingo Runkel

Publication date: 14 April 2022

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.08164

zbMATH Keywords

vertex operator algebrasribbon categoriesVerlinde formulaquasi-Hopf algebras\(S L(2, \mathbb{Z})\) representations

Mathematics Subject Classification ID

Quantum field theory; related classical field theories (81Txx) Lie algebras and Lie superalgebras (17Bxx) Monoidal categories and operads (18Mxx)

Related Items (6)

Full Logarithmic Conformal Field theory — an Attempt at a Status Report ⋮ A quasi-Hopf algebra for the triplet vertex operator algebra ⋮ Davydov-Yetter cohomology and relative homological algebra ⋮ \(\mathrm{SL}(2, \mathbb{Z})\)-action for ribbon quasi-Hopf algebras ⋮ The non-semisimple Verlinde formula and pseudo-trace functions ⋮ Projective objects and the modified trace in factorisable finite tensor categories

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