On schizosymmetric superfields and sl(2/1, C)(R) supersymmetry

Citation
Pd. Jarvis et Ks. Fienberg, On schizosymmetric superfields and sl(2/1, C)(R) supersymmetry, J PHYS A, 34(18), 2001, pp. 3823-3829
Citations number
11
Categorie Soggetti
Physics
Journal title
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
ISSN journal
03054470 → ACNP
Volume
34
Issue
18
Year of publication
2001
Pages
3823 - 3829
Database
ISI
SICI code
0305-4470(20010511)34:18<3823:OSSASC>2.0.ZU;2-H
Abstract
Superfield expansions over four-dimensional graded spacetime (x(mu), theta (nu)), with Minkowski coordinates x extended by vector Grassmann variables theta, are investigated. By appropriate identification of the physical Lore ntz algebra in the even and odd parts of the superfield, a typology of 'sch izofields' containing both integer and half-integer spin fields is establis hed. For two of these types, identified as 'gauge potential'-like and 'fiel d strength'-like schizofields; an sl(2/1, C)(R) supersymmetry at the compon ent held level is demonstrated. Prospects for a schizofield calculus, and a pplication of these types of field to the particle spectrum, are adumbrated .