Deforming the Lie Superalgebra of Contact Vector Fields on $S^{1|1}$
数学物理
2007-05-23 v1 math.MP
摘要
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 .
引用
@article{arxiv.math-ph/0603058,
title = {Deforming the Lie Superalgebra of Contact Vector Fields on $S^{1|1}$},
author = {Boujemaa Agrebaoui and Nizar Ben Fraj and Salem Omri},
journal= {arXiv preprint arXiv:math-ph/0603058},
year = {2007}
}