Journal of Nonlinear Mathematical Physics

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
Available Online 28 November 2006.
DOI
https://doi.org/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.
Open Access
This is an open access article distributed under the CC BY-NC license.

Download article (PDF)

Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
13 - 1
Pages
19 - 33
Publication Date
2006/11
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
https://doi.org/10.2991/jnmp.2006.13.1.3How to use a DOI?
Open Access
This is an open access article distributed under the CC BY-NC license.

Cite this article

TY  - JOUR
AU  - N BEN FRAJ
AU  - S OMRI
PY  - 2006
DA  - 2006/11
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  - https://doi.org/10.2991/jnmp.2006.13.1.3
ID  - BENFRAJ2006
ER  -