Classification of Superconformal Algebras with Quadratic Non-Linearity

E. S. Fradkin; V. Ya. Linetsky

paper

Classification of Superconformal Algebras with Quadratic Non-Linearity

arXiv:hep-th/9207035

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 $Z_{2} \times Z_{2}$ -graded algebras are obtained and in addition to the previously known cases five exceotional quasisuperconformal algebras and a series of $Z_{2} \times Z_{2}$ -superconformal algebras containing affine $s p_{2} \otimes os p (N ∣2 M)$ are constructed.

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