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• W3100651696 endingPage "125204" @default.
• W3100651696 startingPage "125204" @default.
• W3100651696 abstract "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 Kac-Moody type, a generalisation of Sugawara's 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 affinisation of the superalgebra gl(1|1): Its highest weight irreducible modules are classified using spectral flow, the irreducible supercharacters are computed and a continuum version of the Verlinde formula is verified to give non-negative integer structure coefficients. Interpreting these coefficients as those of the Grothendieck ring of fusion, partial results on the true fusion ring and its indecomposable structures are deduced." @default.
• W3100651696 created "2020-11-23" @default.
• W3100651696 creator A5060119897 @default.
• W3100651696 creator A5083975497 @default.
• W3100651696 date "2013-03-06" @default.
• W3100651696 modified "2023-09-27" @default.
• W3100651696 title "Takiff superalgebras and conformal field theory" @default.
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• W3100651696 doi "https://doi.org/10.1088/1751-8113/46/12/125204" @default.
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