title: |
Deforming the Lie Superalgebra of Contact Vector Fields on S1|1 Inside the Lie Superalgebra of Superpseudodifferential Operators on S1|1 |
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publication: |
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| volume-issue: | 13 - 1 | |
| pages: | 19 - 33 | |
ISSN: |
1402-9251 | |
DOI: |
doi:10.2991/jnmp.2006.13.1.3 (how to use a DOI) | |
author(s): |
N BEN FRAJ, S OMRI |
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publication date: |
February 2006 |
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abstract: |
We classify nontrivial deformations of the standard embedding of the Lie superalgebra
K(1) of contact vector fields on the (1,1)-dimensional supercircle into the Lie supealgebra of superpseudodifferential operators on the supercircle. This approach leads
to the deformations of the central charge induced on K(1) by the canonical central
extension of SDO. |
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copyright: |
©
Atlantis Press. This article is distributed under the
terms of the Creative Commons Attribution License, which permits
non-commercial use, distribution and reproduction in any medium,
provided the original work is properly cited. |
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full text: |