SOME REMARKS ON PSEUDO-TRACE FUNCTIONS FOR ORBIFOLD MODELS ASSOCIATED WITH SYMPLECTIC FERMIONS

DOI10.1142/S0129167X13500080zbMath1271.81152arXiv1104.0068OpenAlexW2964072211MaRDI QIDQ4923913

Kiyokazu Nagatomo, Yusuke Arike

Publication date: 27 May 2013

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1104.0068

zbMATH Keywords

conformal field theoryvertex operator algebrassymplectic fermionspseudo-trace functions

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Vertex operators; vertex operator algebras and related structures (17B69) Elliptic curves (14H52) Superalgebras (17A70)

Related Items (14)

The symplectic fermion ribbon quasi-Hopf algebra and the \(S L(2, \mathbb{Z})\)-action on its centre ⋮ Fusion in the entwined category of Yetter-Drinfeld modules of a rank-1 Nichols algebra ⋮ Logarithmic conformal field theory, log-modular tensor categories and modular forms ⋮ A quasi-Hopf algebra for the triplet vertex operator algebra ⋮ On Zhu's algebra and \(C_2\)-algebra for symplectic fermion vertex algebra \(SF (d)^+\) ⋮ On generators and relations for higher level Zhu algebras and applications ⋮ \(\mathrm{SL}(2, \mathbb{Z})\)-action for ribbon quasi-Hopf algebras ⋮ A braided monoidal category for free super-bosons ⋮ The non-semisimple Verlinde formula and pseudo-trace functions ⋮ Pseudo-characters of the symplectic fermions and modular linear differential equations ⋮ Projective objects and the modified trace in factorisable finite tensor categories ⋮ Further results on the structure of (co)ends in finite tensor categories ⋮ Logarithmic intertwining operators and genus-one correlation functions ⋮ C 2-Cofinite $\mathcal{W}$-Algebras and Their Logarithmic Representations

Cites Work

• Unnamed Item
• The structure of Zhu's algebras for certain \(\mathcal W\)-algebras
• Some remarks on symmetric linear functions and pseudotrace maps.
• Modular invariance of vertex operator algebras satisfying \(C_2\)-cofiniteness
• A \(\mathbb{Z}_{2}\)-orbifold model of the symplectic fermionic vertex operator superalgebra
• Higman's criterion revisited.
• Vertex operator algebras and associative algebras
• Twisted representations of vertex operator algebras
• Conformal field theories associated to regular chiral vertex operator algebras. I: Theories over the projective line
• Modular invariance of characters of vertex operator algebras
• Modular-invariance of trace functions in orbifold theory and generalized Moonshine.

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