# 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}

}