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Deforming the Lie superalgebra of contact vector fields on S1 vertical bar 2
Journal article   Open access  Peer reviewed

Deforming the Lie superalgebra of contact vector fields on S1 vertical bar 2

B. Agrebaoui and S. Mansour
Journal of geometry and physics, Vol.60(1), pp.111-121
01/01/2010

Abstract

Mathematics Mathematics, Applied Physical Sciences Physics Physics, Mathematical Science & Technology
We classify the nontrivial deformations of the standard embedding of the Lie superalgebra K(2) of contact vector fields on the (1,2)-dimensional supercircle into the Lie superalgebra of superpseudodifferential operators on the supercircle. This approach leads to the deformations of the central charge induced on K(2) by the canonical central extension of & psi DO(S(1|2)) (C) 2009 Published by Elsevier B.V.
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https://doi.org/10.1016/j.geomphys.2009.09.004View
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