TY - JOUR
T1 - Results of the classification of superconformal algebras in two dimensions
AU - Fradkin, E. S.
AU - Linetsky, V. Ya
N1 - Copyright:
Copyright 2015 Elsevier B.V., All rights reserved.
PY - 1992/5/28
Y1 - 1992/5/28
N2 - 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.
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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U2 - 10.1016/0370-2693(92)90651-J
DO - 10.1016/0370-2693(92)90651-J
M3 - Article
AN - SCOPUS:0011443675
VL - 282
SP - 352
EP - 356
JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
SN - 0370-2693
IS - 3-4
ER -