Deforming the Lie Superalgebra of Contact Vector Fields on $S^{1|1}$

Details Deforming the Lie Superalgebra of Contact Vector Fields on $S^{1|1}$ Deforming the Lie Superalgebra of Contact Vector Fields on $S^{1|1}$

2006-03-23

arxiv.org/abs/math-ph/0603058v1

Journal of Nonlinear Mathematical Physics 13 (2006) no. 1, 19--33

Physics

Mathematical Physics

Scientific paper

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 superalgebra 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 $S\Psi DO$.

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