Classification of Superconformal Algebras with Quadratic Non-Linearity

Details Classification of Superconformal Algebras with Quadratic Non-Linearity Classification of Superconformal Algebras with Quadratic Non-Linearity

1992-07-12

arxiv.org/abs/hep-th/9207035v1

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, ITP-SB-92-34, Latex

Scientific paper

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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