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Title: N = 4 irreducible scalar superfields

Abstract

The N = 4 extended supersymmetry in four-dimensional space-time is considered from the viewpoint of the two included N = 2 extended supersymmetries. Using the results for the structure of the irreducible superfields in N = 2 superspace obtained earlier the task of explicit construction of N = 4 irreducible superfields with SU(2) x SU(2) internal symmetry in N = 2 x 2 superspace is solved. The decomposition of the N = 4 scalar superfield into N = 4 irreducible ones is described and the rules for collecting the irreducible scalar N = 2 x 2 superfields with SU(2) x SU(2)= internal symmetry into N = 4 irreducible scalar superfields with SU(4) internal symmetry are set. To illustrate this method a simple consistent way of constructing the linearized off-shell N = 4 conformal supergravity in N = 4 superspace is shown.

Authors:
;
Publication Date:
Research Org.:
Institute of High Current Electronics of the USSR Academy of Sciences Siberian Division, pr. Akademichesky, 4, 634055, Tomsk, USSR
OSTI Identifier:
5264286
Resource Type:
Journal Article
Journal Name:
J. Math. Phys. (N.Y.); (United States)
Additional Journal Information:
Journal Volume: 29:5
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; SCALAR FIELDS; SUPERGRAVITY; UNIFIED-FIELD THEORIES; SUPERSYMMETRY; IRREDUCIBLE REPRESENTATIONS; SPACE-TIME; SU-2 GROUPS; FIELD THEORIES; LIE GROUPS; SU GROUPS; SYMMETRY; SYMMETRY GROUPS; 657003* - Theoretical & Mathematical Physics- Relativity & Gravitation

Citation Formats

Ketov, S V, and Lokhvitsky, B B. N = 4 irreducible scalar superfields. United States: N. p., 1988. Web. doi:10.1063/1.527967.
Ketov, S V, & Lokhvitsky, B B. N = 4 irreducible scalar superfields. United States. doi:10.1063/1.527967.
Ketov, S V, and Lokhvitsky, B B. Sun . "N = 4 irreducible scalar superfields". United States. doi:10.1063/1.527967.
@article{osti_5264286,
title = {N = 4 irreducible scalar superfields},
author = {Ketov, S V and Lokhvitsky, B B},
abstractNote = {The N = 4 extended supersymmetry in four-dimensional space-time is considered from the viewpoint of the two included N = 2 extended supersymmetries. Using the results for the structure of the irreducible superfields in N = 2 superspace obtained earlier the task of explicit construction of N = 4 irreducible superfields with SU(2) x SU(2) internal symmetry in N = 2 x 2 superspace is solved. The decomposition of the N = 4 scalar superfield into N = 4 irreducible ones is described and the rules for collecting the irreducible scalar N = 2 x 2 superfields with SU(2) x SU(2)= internal symmetry into N = 4 irreducible scalar superfields with SU(4) internal symmetry are set. To illustrate this method a simple consistent way of constructing the linearized off-shell N = 4 conformal supergravity in N = 4 superspace is shown.},
doi = {10.1063/1.527967},
journal = {J. Math. Phys. (N.Y.); (United States)},
number = ,
volume = 29:5,
place = {United States},
year = {1988},
month = {5}
}