Journal of Nonlinear Mathematical Physics

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Volume 13, Issue 1, February 2006, Pages 19 - 33

Deforming the Lie Superalgebra of Contact Vector Fields on S1|1 Inside the Lie Superalgebra of Superpseudodifferential Operators on S1|1

Authors
N. Ben Fraj, S. Omri
Corresponding Author
N. Ben Fraj
Received 7 September 2004, Accepted 8 June 2005, Available Online 1 February 2006.
DOI
10.2991/jnmp.2006.13.1.3How to use a DOI?
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.

Copyright
© 2006, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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<Previous Article In Issue
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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
13 - 1
Pages
19 - 33
Publication Date
2006/02/01
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.2006.13.1.3How to use a DOI?
Copyright
© 2006, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

risenwbib
TY  - JOUR
AU  - N. Ben Fraj
AU  - S. Omri
PY  - 2006
DA  - 2006/02/01
TI  - Deforming the Lie Superalgebra of Contact Vector Fields on S1|1 Inside the Lie Superalgebra of Superpseudodifferential Operators on S1|1
JO  - Journal of Nonlinear Mathematical Physics
SP  - 19
EP  - 33
VL  - 13
IS  - 1
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2006.13.1.3
DO  - 10.2991/jnmp.2006.13.1.3
ID  - Fraj2006
ER  -