Classification of Superconformal Algebras with Quadratic Non-Linearity

E. S. Fradkin; V. Ya. Linetsky

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arXiv · hep-th/9207035

Classification of Superconformal Algebras with Quadratic Non-Linearity

E. S. Fradkin·V. Ya. Linetsky

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Abstract

A unified treatment of both superconformal and quasisuperconformal algebras with quadratic non-linearity is given. General formulas describing their structure are found by solving the Jacobi identities. A complete classification of quasisuperconformal and ${\bf Z}_2\times{\bf Z}_2$-graded algebras are obtained and in addition to the previously known cases five exceotional quasisuperconformal algebras and a series of ${\bf Z}_2\times{\bf Z}_2$-superconformal algebras containing affine $\widehat{sp}_2\otimes\widehat{osp}(N|2M)$ are constructed.

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E. S. Fradkin, V. Ya. Linetsky. 1992-07-12. Classification of Superconformal Algebras with Quadratic Non-Linearity. https://arxiv.org/abs/hep-th/9207035

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