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arXiv · 1101.5810

The Nichols algebra of screenings

A. M. Semikhatov·I. Yu. Tipunin
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Abstract

Two related constructions are associated with screening operators in models of two-dimensional conformal field theory. One is a local system constructed in terms of the braided vector space X spanned by the screening species in a given CFT model and the space of vertex operators Y and the other is the Nichols algebra B(X) and the category of its Yetter--Drinfeld modules, which we propose as an algebraic counterpart, in a "braided" version of the Kazhdan--Lusztig duality, of the representation category of vertex-operator algebras realized in logarithmic CFT models.

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BibTeXRIS

A. M. Semikhatov, I. Yu. Tipunin. 2011-11-23. The Nichols algebra of screenings. https://doi.org/10.1142/s0219199712500290

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