A non-reductive N = 4 superconformal algebra

Rasmussen, J. (2002) A non-reductive N = 4 superconformal algebra. Journal of Physics A: Mathematical and General, 35 8: 2037-2044. doi:10.1088/0305-4470/35/8/316

Author Rasmussen, J.
Title A non-reductive N = 4 superconformal algebra
Journal name Journal of Physics A: Mathematical and General   Check publisher's open access policy
ISSN 0305-4470
ISBN 0305-4470; 1361-6447
Publication date 2002-01-01
Sub-type Article (original research)
DOI 10.1088/0305-4470/35/8/316
Volume 35
Issue 8
Start page 2037
End page 2044
Total pages 8
Place of publication Bristol, United Kingdom
Publisher Institute of Physics Publishing
Language eng
Formatted abstract
A new N = 4 superconformal algebra (SCA) is presented. Its internal affine Lie algebra is based on the seven-dimensional Lie algebra su(2) ⊕ g, where g should be identified with a four-dimensional non-reductive Lie algebra. Thus, it is the first known example of what we choose to call a non-reductive SCA. It contains a total of 16 generators and is obtained by a non-trivial Inönü-Wigner contraction of the well-known large N = 4 SCA. The recently discovered asymmetric N = 4 SCA is a subalgebra of this new SCA. Finally, the possible affine extensions of the non-reductive Lie algebra g are classified. The two-form governing the extension appearing in the SCA differs from the ordinary Cartan-Killing form.
Keyword Superconformal algebra
Lie algebra
Non-reductive SCA
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status Non-UQ

Document type: Journal Article
Sub-type: Article (original research)
Collection: School of Mathematics and Physics
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Citation counts: TR Web of Science Citation Count  Cited 2 times in Thomson Reuters Web of Science Article | Citations
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Created: Thu, 22 Mar 2012, 22:08:27 EST by Kay Mackie on behalf of School of Mathematics & Physics