Results of the classification of superconformal algebras in two dimensions

E. S. Fradkin; V. Ya Linetsky

doi:10.1016/0370-2693(92)90651-J

Results of the classification of superconformal algebras in two dimensions

E. S. Fradkin^*, V. Ya Linetsky

^*Corresponding author for this work

Industrial Engineering and Management Sciences

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42 Scopus citations

Abstract

A list of superconformal chiral operator product expansion algebras with quadratic nonlinearity in two dimensions is completed on the basis of the known classification of little conformal Lie superalgebras. In addition to the previously known cases and the in our previous paper constructed exceptional N=8 superalgebra associated with F(4), a novel exceptional N=7 superconformal algebra associated with G(3) is found, as well as a whole family of superalgebras containing affine su₂⊕usp_2N. A classification scheme for quasisuperconformal algebras is also outlined.

Original language	English (US)
Pages (from-to)	352-356
Number of pages	5
Journal	Physics Letters B
Volume	282
Issue number	3-4
DOIs	https://doi.org/10.1016/0370-2693(92)90651-J
State	Published - May 28 1992

ASJC Scopus subject areas

Nuclear and High Energy Physics

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AB - A list of superconformal chiral operator product expansion algebras with quadratic nonlinearity in two dimensions is completed on the basis of the known classification of little conformal Lie superalgebras. In addition to the previously known cases and the in our previous paper constructed exceptional N=8 superalgebra associated with F(4), a novel exceptional N=7 superconformal algebra associated with G(3) is found, as well as a whole family of superalgebras containing affine su2⊕usp2N. A classification scheme for quasisuperconformal algebras is also outlined.

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Results of the classification of superconformal algebras in two dimensions

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