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arXiv · 1109.1767

Virasoro central charges for Nichols algebras

A. M. Semikhatov
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Abstract

A Virasoro central charge can be associated with each Nichols algebra with diagonal braiding in a way that is invariant under the Weyl groupoid action. The central charge takes very suggestive values for some items in Heckenberger's list of rank-2 Nichols algebras. In particular, this might be viewed as an indication of the existence of reasonable logarithmic extensions of W_3==WA_2, WB_2, and WG_2 models of conformal field theory. In the W_3 case, the construction of an octuplet extended algebra---a counterpart of the triplet (1,p) algebra---is outlined.

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A. M. Semikhatov. 2011-09-08. Virasoro central charges for Nichols algebras. https://arxiv.org/abs/1109.1767

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