Abstract
We classify deformations of the standard embedding of the Lie superalgebra \( \mathcal{K} \) (2) of contact vector fields on the (1, 2)-dimensional supercircle into the Lie superalgebra SΨD(S1|2) of pseudodifferential operators on the supercircle S1|2. The proposed approach leads to the deformations of the central charge induced on \( \mathcal{K} \) (2) by the canonical central extension of SΨD(S1|2).
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Prepared from an English manuscript submitted by the authors; for the Russian version, see Teoreticheskaya i Matematicheskaya Fizika, Vol. 163, No. 2, pp. 258–276, May, 2010.
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Ben Fraj, N., Omri, S. Deforming the Lie superalgebra of contact vector fields on S 1|2 inside the Lie superalgebra of pseudodifferential operators on S 1|2 . Theor Math Phys 163, 618–633 (2010). https://doi.org/10.1007/s11232-010-0045-z
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DOI: https://doi.org/10.1007/s11232-010-0045-z