Geometric Structure of $N=1 D=10$ and $N=4 D=4$ Superyang-mills Theory

D'Auria, R.; Fre, P.; da Silva, A.J.

doi:10.1016/0550-3213(82)90036-0

Geometric Structure of $N=1 D=10$ and $N=4 D=4$ Superyang-mills Theory

R. D'Auria
(
- Turin U. and
- INFN, Turin
)
,
P. Fre
(
- Turin U. and
- INFN, Turin
)
,
A.J. da Silva
(
- Turin U. and
- INFN, Turin
)

Jun, 1981

35 pages

Published in:

Nucl.Phys.B 196 (1982) 205-239

Published: 1982

DOI:

10.1016/0550-3213(82)90036-0

Report number:

IFTT-412

View in:

AMS MathSciNet

reference search29 citations

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Abstract: (Elsevier)

In this paper we present the group manifold formulation of N =1, D =10 and N =4, D =4 super Yang-Mills theory. Our result is an off-shell, first-order action in superspace without central charges. Analysis of the Bianchi identities based on a general group theoretical technique described in a previous publication shows that no constraint can be imposed on the curvatures without implying propagation equations. This suggests that our first-order action is probably the only off-shell one: no second-order, off-shell formulation seems to exist.

GAUGE FIELD THEORY: YANG-MILLS
SUPERSYMMETRY: ALGEBRA
FIELD THEORY: HIGHER-DIMENSIONAL
FIELD THEORY: SPACE-TIME
FIELD THEORY: BIANCHI IDENTITY
MODEL: OFF-SHELL
GROUP THEORY: REPRESENTATION
SYMMETRY: SO(1,9)
GAUGE FIELD THEORY: SU(4)
MATHEMATICAL METHODS

References(6)

Figures(0)

- Riv.Nuovo Cim. 1 5

- Riv.Nuovo Cim. 3 12

Remarks on the Supergroup Manifold Approach to Supersymmetric {Yang-Mills} Theories and the Explicit Construction of the $N=2$ Case

P. Fre
(
- SUNY, Stony Brook
)

- Nucl.Phys.B 187 (1981) 376-388
•
DOI:
- 10.1016/0550-3213(81)90280-7

- Phys.Rev. 37 810

Supersymmetric Yang-Mills Theories

Lars Brink
(
- Caltech
)
,
John H. Schwarz
(
- Caltech
)
,
Joel Scherk
(
- Ecole Normale Superieure
)

- Nucl.Phys.B 121 (1977) 77-92
•
DOI:
- 10.1016/0550-3213(77)90328-5

- Nucl.Phys.B 133 253

Geometric Structure of N=1D=10N=1 D=10N=1D=10 and N=4D=4N=4 D=4N=4D=4 Superyang-mills Theory

Citations per year

Remarks on the Supergroup Manifold Approach to Supersymmetric {Yang-Mills} Theories and the Explicit Construction of the N=2N=2N=2 Case

Supersymmetric Yang-Mills Theories

Geometric Structure of $N=1 D=10$ and $N=4 D=4$ Superyang-mills Theory

Remarks on the Supergroup Manifold Approach to Supersymmetric {Yang-Mills} Theories and the Explicit Construction of the $N=2$ Case