|
SIGMA 2 (2006), 009, 5 pages math-ph/0601059
https://doi.org/10.3842/SIGMA.2006.009
On Action Invariance under Linear Spinor-Vector Supersymmetry
Kazunari Shima and Motomu Tsuda
Laboratory of Physics, Saitama Institute of Technology, Okabe-machi, Saitama 369-0293, Japan
Received October 21, 2005, in final form January 10, 2006; Published online January 24, 2006
Abstract
We show explicitly that a free Lagrangian expressed in
terms of scalar, spinor, vector and Rarita-Schwinger (RS) fields
is invariant under linear supersymmetry transformations generated
by a global spinor-vector parameter. A (generalized) gauge
invariance of the Lagrangian for the RS field is also discussed.
Key words:
spinor-vector supersymmetry; Rarita-Schwinger field.
pdf (154 kb)
ps (122 kb)
tex (9 kb)
References
- Wess J., Zumino B., A Lagrangian model invariant under supergauge
transformations, Phys. Lett. B, 1974, V.49, 52-75.
- Volkov D.V., Akulov V.P., Possible universal neutrino interaction, JETP Lett., 1972, V.16, 438-440.
Volkov D.V., Akulov V.P., Is the neutrino a goldstone particle?,
Phys. Lett. B, 1973, V.46, 109-110.
- Ivanov E.A., Kapustnikov A.A., Relation between linear and
nonlinear realizations of
supersymmetry, JINR Report No. E2-10765, Dubna, 1977 (unpublished).
Ivanov E.A., Kapustnikov A.A., General relationship between linear and nonlinear realisations of supersymmetry,
J. Phys. A: Math. Gen., 1978, V.11, 2375-2384.
Ivanov E.A., Kapustnikov A.A., The non-linear realization
structure of models with spontaneously broken supersymmetry,
J. Phys. G, 1982, V.8, 167-191.
- Rocek M., Linearizing the Volkov-Akulov model, Phys. Rev. Lett., 1978, V.41, 451-453.
- Uematsu T., Zachos C.K., Structure of phenomenological Lagrangians
for broken supersymmetry, Nucl. Phys. B, 1982, V.201,
250-268.
- Shima K., Tanii Y., Tsuda M., On linearization of N = 1
nonlinear supersymmetry,
Phys. Lett. B, 2002, V.525, 183-188, hep-th/0110102.
Shima K., Tanii Y., Tsuda M., Linearizing N = 2 nonlinear
supersymmetry, Phys. Lett. B, 2002, V.546, 162-166,
hep-th/0205178.
- Baaklini N.S., New superalgebra and Goldstone spin-3/2 particle,
Phys. Lett. B, 1977, V.67, 335-336.
- Shima K., SO(N) supergravity and unification of all fundamental
forces,
Z. Phys. C, 1983, V.18, 25-30.
Shima K., Superon-quintet and graviton model for supersymmetric
spacetime and matter,
Eur. Phys. J. C, 1999, V.7, 341-345.
Shima K., Supersymmetric structure of space-time and matter:
superon-graviton model, Phys. Lett. B, 2001, V.501,
237-244.
- Shima K., Tsuda M., On gravitational interaction of spin 3/2
Nambu-Goldstone fermion, Phys. Lett. B, 2001, V.521,
67-70, hep-th/0012235.
- Deser S., Zumino B., Broken supersymmetry and supergravity,
Phys. Rev. Lett., 1977, V.38, 1433-1436.
- Shima K., Tsuda M., On supersymmetry algebra based on a
spinor-vector generator, Phys. Lett. B, 2005, V.628,
171-175, hep-th/0507288.
- Coleman S., Mandula J., All possible symmetries of the S matrix,
Phys. Rev., 1967, V.159, 1251-1256.
- Haag R., Lopuszanski J., Sohnius M., All possible generators of
supersymmetries of the S matrix, Nucl. Phys. B, 1975,
V.88, 257-274.
|
|