Virasoro central charges for Nichols algebras

Mathematics – Quantum Algebra

Scientific paper

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22 pages, amsart++, xy, times

Scientific paper

Virasoro central charge associated with Nichols algebras is invariant under the Weyl groupoid action and takes very suggestive values for some items in Heckenberger's list of rank-2 Nichols algebras. In particular, this might be taken as an indication of the existence of reasonable logarithmic extensions of W3==WA2, WB2, and WG2 models of conformal field theory. In the W3 case, the construction of an octuplet extended algebra is outlined.

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