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

Research output: Contribution to journal › Article › peer-review

34 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

Access to Document

10.1016/0370-2693(92)90651-J

Fingerprint Dive into the research topics of 'Results of the classification of superconformal algebras in two dimensions'. Together they form a unique fingerprint.

Cite this

@article{6d63ecd5f53b40c0bc6dc6706313e056,

title = "Results of the classification of superconformal algebras in two dimensions",

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⊕usp2N. A classification scheme for quasisuperconformal algebras is also outlined.",

author = "Fradkin, {E. S.} and Linetsky, {V. Ya}",

year = "1992",

month = may,

day = "28",

doi = "10.1016/0370-2693(92)90651-J",

language = "English (US)",

volume = "282",

pages = "352--356",

journal = "Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics",

issn = "0370-2693",

publisher = "Elsevier",

number = "3-4",

}

TY - JOUR

T1 - Results of the classification of superconformal algebras in two dimensions

AU - Fradkin, E. S.

AU - Linetsky, V. Ya

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.

UR - http://www.scopus.com/inward/record.url?scp=0011443675&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0011443675&partnerID=8YFLogxK

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 -