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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- Organic Chemistry
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N= 4 irreducible scalar superflelds. / Ketov, S. V.; Lokhvitsky, B. B.
In: Journal of Mathematical Physics, Vol. 29, No. 5, 1988, p. 1244-1252.Research output: Contribution to journal › Article
}
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.
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M3 - Article
VL - 29
SP - 1244
EP - 1252
JO - Journal of Mathematical Physics
JF - Journal of Mathematical Physics
SN - 0022-2488
IS - 5
ER -