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Takiff superalgebras and conformal field theory

Babichenko, Andrei; Ridout, David


A class of non-semisimple extensions of Lie superalgebras is studied. They are obtained by adjoining to the superalgebra its adjoint representation as an Abelian ideal. When the superalgebra is of affine KacMoody type, a generalization of Sugawaras construction is shown to give rise to a copy of the Virasoro algebra and so, presumably, to a conformal field theory. Evidence for this is detailed for the extension of the affinization of the superalgebra gl(1|1): its highestweight...[Show more]

CollectionsANU Research Publications
Date published: 2013
Type: Journal article
Source: Journal of Physics A: Mathematical and Theoretical
DOI: 10.1088/1751-8113/46/12/125204


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