# Supergauge Transformations in Four-Dimensions

@article{Wess1974SupergaugeTI, title={Supergauge Transformations in Four-Dimensions}, author={Julius Wess and Bruno Zumino}, journal={Nuclear Physics}, year={1974}, volume={70}, pages={39-50} }

Abstract Supergauge transformations are defined in four space-time dimensions. Their commutators are shown to generate γ5 transformations and conformal transformations. Various kinds of multiplets are described and examples of their combinations to new representations are given. The relevance of supergauge transformations for Lagrangian field theory is explained. Finally, the abstract group theoretic structure is discussed.

#### 2,212 Citations

Supergauge Multiplets and Superfields

- Physics
- 1974

Abstract Superfields are defined as functions of the space-time variable x and of anticommuting two-component spinors θ and θ . They have definite transformation properties under supergauge…

Supergauge invariant Yang-Mills theories

- Physics
- 1974

We construct Lagrangian theories which are simultaneously invariant under supergauge transformations and under Yang-Mills transformations. The simplest of these turns out to be just the usual theory…

Superinvariant chiral and vector fields

- Physics
- 1987

This work is concerned with the characterization of field supermultiplets on four‐dimensional Minkowski space that are stable under the action of subgroups of the superconformal group SU(2,2/1). The…

Super-gauge transformations on the six-dimensional hypercone

- Physics
- 1974

Abstract Super-gauge transformations on physical space-time are defined on the projective six-dimensional hypercone. The basic observation which motivates the present approach is that the product of…

On a class of supergauge lagrangians

- Physics
- 1975

Abstract It is shown that the Wess-Zumino Lagrangian is the only viable supergauge Lagrangian which can be constructed from scalar superfields (and the covariant derivative) that has an interaction…

A lagrangian model invariant under supergauge transformations

- Physics
- 1974

We study, in the one-loop approximation, a Lagrangian model invariant under supergauge transformations. The model involves a scalar, a pseudoscalar and a spinor field. Supergauge invariance gives…

Conformal and superconformal gravity and non-linear representations

- Physics
- 1978

Abstract The method of non-linear representations, when applied to the (super) conformal group, is shown not to be equivalent to the usual (super) conformal gravity theories. However, the requirement…

Supersymmetry with isospin

- Physics
- 1975

Abstract Super-invariant generalizations of the Casimir operators of the Poincare and isospin algebras are presented. Superfields are discussed, in particular, the simplest irreducible superfields…

Geometric aspects of supergauge theory

- Mathematics
- 1977

It is shown that the Wess–Zumino supergauge algebra can be obtained from the theory of automorphisms of a complex structure on spacetime, and that this is related to a formal geometric scheme of…

Supergravity In Eleven-dimensional Space-time

- Physics
- 1984

A comprehensive review of supergravity in eleven dimensions is presented with particular emphasis on the seven-sphere compactification. The complete mass spectrum and its Osp(8,4) content are…

#### References

SHOWING 1-2 OF 2 REFERENCES

DUAL-PARTON MODEL FOR MESONS AND BARYONS

- Physics
- 1971

Abstract Guided by the theory of Neveu and Schwartz spin is introduced into the dual string model by equipping each parton with a Dirac spin index. A nearest-neighbour spin-spin coupling is…

FACTORIZABLE DUAL MODEL OF PIONS.

- Physics
- 1971

A new dual-resonance model of mesons is constructed through the use of creation and annihilation operators having simple anticommutation properties as well as harmonic-oscillator type operators of…