Skip navigation
Skip navigation

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]

CollectionsANU Research Publications
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

Download

File Description SizeFormat Image
01_Babichenko_Takiff_superalgebras_and_2013.pdf248.28 kBAdobe PDF    Request a copy


Items in Open Research are protected by copyright, with all rights reserved, unless otherwise indicated.

Updated:  20 July 2017/ Responsible Officer:  University Librarian/ Page Contact:  Library Systems & Web Coordinator