Takiff superalgebras and conformal field theory
Babichenko, Andrei; Ridout, David
Description
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]
Collections | ANU Research Publications |
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Date published: | 2013 |
Type: | Journal article |
URI: | http://hdl.handle.net/1885/71596 |
Source: | Journal of Physics A: Mathematical and Theoretical |
DOI: | 10.1088/1751-8113/46/12/125204 |
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