### 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 = 2X2 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 = 2X2 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.

Original language | English |
---|---|

Pages (from-to) | 1244-1252 |

Number of pages | 9 |

Journal | Journal of Mathematical Physics |

Volume | 29 |

Issue number | 5 |

Publication status | Published - 1988 |

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### ASJC Scopus subject areas

- Organic Chemistry

### Cite this

*Journal of Mathematical Physics*,

*29*(5), 1244-1252.

**N= 4 irreducible scalar superflelds.** / Ketov, S. V.; Lokhvitsky, B. B.

Research output: Contribution to journal › Article

*Journal of Mathematical Physics*, vol. 29, no. 5, pp. 1244-1252.

}

TY - JOUR

T1 - N= 4 irreducible scalar superflelds

AU - Ketov, S. V.

AU - Lokhvitsky, B. B.

PY - 1988

Y1 - 1988

N2 - 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 = 2X2 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 = 2X2 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.

AB - 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 = 2X2 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 = 2X2 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.

UR - http://www.scopus.com/inward/record.url?scp=36549096065&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=36549096065&partnerID=8YFLogxK

M3 - Article

VL - 29

SP - 1244

EP - 1252

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

SN - 0022-2488

IS - 5

ER -