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 Z2 × Z2-graded algebras is obtained and in addition to the previously known cases five exceptional quasisuperconformal algebras and a series of Z2 × Z2-superconformal algebras containing affine sp2⊕osp(N|2M) are constructed.
ASJC Scopus subject areas
- Nuclear and High Energy Physics