The Nichols algebra of screenings
Quantum Algebra
2012-09-18 v3 High Energy Physics - Theory
Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.1101.5810,
title = {The Nichols algebra of screenings},
author = {A. M. Semikhatov and I. Yu. Tipunin},
journal= {arXiv preprint arXiv:1101.5810},
year = {2012}
}
Comments
V3: now only 63 pages (with hopefully increased readability). LaTeX: amsmath++, mathabx, times, xy