Classification of Superconformal Algebras with Quadratic Non-Linearity

E. S. Fradkin; V. Ya. Linetsky

Classification of Superconformal Algebras with Quadratic Non-Linearity

High Energy Physics - Theory 2007-05-23 v1

Authors: E. S. Fradkin , V. Ya. Linetsky

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.

Keywords

superconformal algebras quasisuperconformal algebras Jacobi identities classification graded algebras

Cite

@article{arxiv.hep-th/9207035,
  title  = {Classification of Superconformal Algebras with Quadratic Non-Linearity},
  author = {E. S. Fradkin and V. Ya. Linetsky},
  journal= {arXiv preprint arXiv:hep-th/9207035},
  year   = {2007}
}

Comments

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

Classification of Superconformal Algebras with Quadratic Non-Linearity

Abstract

Keywords

Cite

Comments

Related papers