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An exceptional N=8 superconformal algebra in two dimensions associated with F(4)

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Abstract

An exceptional N=8 superconformal algebra in two dimensions is constructed. It includes a multiplet of Kac-Moody currents in the adjoint representation of Spin(7) and a multiplet of supercurrents in the spinor representation of Spin(7), besides the energy-momentum tensor. It involves both central terms and quadratically non-linear terms in the supercommutators. The Moebius subsuperalgebra is reduced to F(4). The existence of the entire construction is accounted for by the remarkable properties of octonions. (author). 16 refs.
Authors:
Fradkin, E S; [1]  Linetsky, V Ya [2] 
  1. International Centre for Theoretical Physics, Trieste (Italy)
  2. AN SSSR, Moscow (USSR). Fizicheskij Inst.
Publication Date:
Oct 01, 1991
Product Type:
Technical Report
Report Number:
IC-91/348
Reference Number:
SCA: 662120; PA: AIX-23:017734; SN: 92000661493
Resource Relation:
Other Information: PBD: Oct 1991
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; GRADED LIE GROUPS; CONFORMAL INVARIANCE; ENERGY-MOMENTUM TENSOR; SO GROUPS; SPINORS; TWO-DIMENSIONAL CALCULATIONS; 662120; SYMMETRY, CONSERVATION LAWS, CURRENTS AND THEIR PROPERTIES
OSTI ID:
10118442
Research Organizations:
International Centre for Theoretical Physics (ICTP), Trieste (Italy)
Country of Origin:
IAEA
Language:
English
Other Identifying Numbers:
Other: ON: DE92616991; TRN: XA9230516017734
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
INIS
Size:
9 p.
Announcement Date:
Jun 30, 2005

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Citation Formats

Fradkin, E S, and Linetsky, V Ya. An exceptional N=8 superconformal algebra in two dimensions associated with F(4). IAEA: N. p., 1991. Web.
Fradkin, E S, & Linetsky, V Ya. An exceptional N=8 superconformal algebra in two dimensions associated with F(4). IAEA.
Fradkin, E S, and Linetsky, V Ya. 1991. "An exceptional N=8 superconformal algebra in two dimensions associated with F(4)." IAEA.
@misc{etde_10118442,
title = {An exceptional N=8 superconformal algebra in two dimensions associated with F(4)}
 author = {Fradkin, E S, and Linetsky, V Ya}
 abstractNote = {An exceptional N=8 superconformal algebra in two dimensions is constructed. It includes a multiplet of Kac-Moody currents in the adjoint representation of Spin(7) and a multiplet of supercurrents in the spinor representation of Spin(7), besides the energy-momentum tensor. It involves both central terms and quadratically non-linear terms in the supercommutators. The Moebius subsuperalgebra is reduced to F(4). The existence of the entire construction is accounted for by the remarkable properties of octonions. (author). 16 refs.}
 place = {IAEA}
 year = {1991}
 month = {Oct}
 }