The Nichols algebra of screenings

Details The Nichols algebra of screenings The Nichols algebra of screenings

2011-01-30

arxiv.org/abs/1101.5810v3

Mathematics

Quantum Algebra

V3: now only 63 pages (with hopefully increased readability). LaTeX: amsmath++, mathabx, times, xy

Scientific paper

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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