Fierz Identities and Invariance of Eleven-dimensional Supergravity Action

Naito, S.; Osada, K.; Fukui, T.

doi:10.1103/PhysRevD.34.536

Fierz Identities and Invariance of Eleven-dimensional Supergravity Action

1986

17 pages

Published in:

Phys.Rev.D 34 (1986) 536-552

DOI:

10.1103/PhysRevD.34.536

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Abstract: (APS)

A systematic method applicable to any dimension D is proposed and found to be useful for deriving various Fierz identities. With the help of this method we explicitly prove the invariance of D=11, N=1 supergravity action under local supersymmetry transformation.

SUPERGRAVITY
FIELD THEORY: ELEVEN-DIMENSIONAL
SUPERSYMMETRY: TRANSFORMATION
ALGEBRA: CLIFFORD

References(6)

Figures(0)

- NOONE B 409

Ten-Dimensional Maxwell-Einstein Supergravity, Its Currents, and the Issue of Its Auxiliary Fields

E. Bergshoeff
(
- Leiden U.
)
,
M. de Roo
(
- Groningen U.
)
,
B. de Wit
(
- NIKHEF, Amsterdam
)
,
P. van Nieuwenhuizen
(
- NIKHEF, Amsterdam
)

- Nucl.Phys.B 195 (1982) 97-136,
- Also in *Ferrara, S. (ed.) : Supersymmetry, Vol. 2*, 1255-1294, and in *Salam, A. (ed.), Sezgin, E. (ed.): Supergravities in diverse dimensions, vol. 1* 160-199
•
DOI:
- 10.1016/0550-3213(82)90050-5

The SO(8) Supergravity

- Nucl.Phys.B 159 (1979) 141-212
•
DOI:
- 10.1016/0550-3213(79)90331-6

Conformal Supergravity in Ten-dimensions

- Nucl.Phys.B 217 (1983) 489,
•
DOI:
- 10.1016/0550-3213(83)90159-1

A New Group Theoretical Technique for the Analysis of Bianchi Identities and Its Application to the Auxiliary Field Problem of $D=5$ Supergravity

- Annals Phys. 139 (1982) 93
•
DOI:
- 10.1016/0003-4916(82)90007-0

Geometric Supergravity in d = 11 and Its Hidden Supergroup

R. D'Auria
(
- Turin U.
)
,
P. Fre
(
- Turin U.
)

- Nucl.Phys.B 201 (1982) 101-140,
- Nucl.Phys.B 206 (1982) 496 (erratum),
- Nucl. Phys. B201 ( 1982) 101-140,
- Nucl. Phys. B206 ( 1982) 496. ( Nucl. Phys. B201 ( 1982) 101)
•
DOI:
- 10.1016/0550-3213(82)90281-4

Fierz Identities and Invariance of Eleven-dimensional Supergravity Action

Citations per year

Ten-Dimensional Maxwell-Einstein Supergravity, Its Currents, and the Issue of Its Auxiliary Fields

The SO(8) Supergravity

Conformal Supergravity in Ten-dimensions

A New Group Theoretical Technique for the Analysis of Bianchi Identities and Its Application to the Auxiliary Field Problem of D=5D=5D=5 Supergravity

Geometric Supergravity in d = 11 and Its Hidden Supergroup

A New Group Theoretical Technique for the Analysis of Bianchi Identities and Its Application to the Auxiliary Field Problem of $D=5$ Supergravity