Abstract
In \( \mathcal{N} = 1 \) rigid supersymmetric theories, there exist three standard realizations of the supercurrent multiplet corresponding to the (i) old minimal, (ii) new minimal and (iii) non-minimal off-shell formulations for \( \mathcal{N} = 1 \) supergravity. Recently, Komargodski and Seiberg in arXiv:1002.2228 put forward a new supercurrent and proved its consistency, although in the past it was believed not to exist. In this paper, three new variant supercurrent multiplets are proposed. Implications for supergravity-matter systems are discussed.
Similar content being viewed by others
References
S. Ferrara and B. Zumino, Transformation properties of the supercurrent, Nucl. Phys. B 87 (1975) 207 [SPIRES].
V. Ogievetsky and E. Sokatchev, On vector superfield generated by supercurrent, Nucl. Phys. B 124 (1977) 309 [SPIRES].
S. Ferrara and B. Zumino, Structure of conformal supergravity, Nucl. Phys. B 134 (1978) 301 [SPIRES].
W. Siegel,A derivation of the supercurrent superfield, HUTP-77/A089 [SPIRES].
S.J. Gates Jr., M.T. Grisaru, M. Roček and W. Siegel, Superspace, or one thousand and one lessons in supersymmetry, Front. Phys. 58 (1983) 1 [hep-th/0108200] [SPIRES].
J. Wess and B. Zumino, Superfield lagrangian for supergravity, Phys. Lett. B 74 (1978) 51 [SPIRES].
K.S. Stelle and P.C. West, Minimal auxiliary fields for supergravity, Phys. Lett. B 74 (1978) 330 [SPIRES].
S. Ferrara and P. van Nieuwenhuizen, The auxiliary fields of supergravity, Phys. Lett. B 74 (1978) 333 [SPIRES].
W. Siegel, Solution to constraints in Wess-Zumino supergravity formalism, Nucl. Phys. B 142 (1978) 301 [SPIRES].
V.P. Akulov, D.V. Volkov and V.A. Soroka, On the general covariant theory of calibrating poles in superspace, Theor. Math. Phys. 31 (1977) 285 [SPIRES].
M.F. Sohnius and P.C. West, An alternative minimal off-shell version of N = 1 supergravity, Phys. Lett. B 105 (1981) 353 [SPIRES].
S.P. Bedding and W. Lang, Linearized superfield formulation of the new minimal N = 1 supergravity, Nucl. Phys. B 196 (1982) 532 [SPIRES].
P.S. Howe, K.S. Stelle and P.K. Townsend, The vanishing volume of N = 1 superspace, Phys. Lett. B 107 (1981) 420 [SPIRES].
S.J. Gates Jr., M. Roček and W. Siegel, Solution to constraints For N = 0 SUPERGRAVITY, Nucl. Phys. B 198 (1982) 113 [SPIRES].
W. Siegel, Gauge spinor superfield as a scalar multiplet, Phys. Lett. B 85 (1979) 333 [SPIRES].
P. Breitenlohner, Some invariant Lagrangians for local supersymmetry, Nucl. Phys. B 124 (1977) 500 [SPIRES].
W. Siegel and S.J. Gates Jr., Superfield Supergravity, Nucl. Phys. B 147 (1979) 77 [SPIRES].
Z. Komargodski and N. Seiberg, Comments on supercurrent multiplets, supersymmetric field theories and supergravity, arXiv:1002.2228 [SPIRES].
Z. Komargodski and N. Seiberg, Comments on the Fayet-Iliopoulos term in field theory and supergravity, JHEP 06 (2009) 007 [arXiv:0904.1159] [SPIRES].
K.R. Dienes and B. Thomas, On the inconsistency of Fayet-Iliopoulos terms in supergravity theories, arXiv:0911.0677 [SPIRES].
S.M. Kuzenko, The Fayet-Iliopoulos term and nonlinear self-duality, arXiv:0911.5190 [SPIRES].
T.E. Clark, O. Piguet and K. Sibold, Supercurrents, renormalization and anomalies, Nucl. Phys. B 143 (1978) 445 [SPIRES].
S.J. Gates Jr., S.M. Kuzenko and J. Phillips, The off-shell (3/2, 2) supermultiplets revisited, Phys. Lett. B 576 (2003) 97 [hep-th/0306288] [SPIRES].
E. Sokatchev, Projection operators and supplementary conditions for superfields with an arbitrary spin, Nucl. Phys. B 99 (1975) 96 [SPIRES].
W. Siegel and S.J. Gates Jr., Superprojectors, Nucl. Phys. B 189 (1981) 295 [SPIRES].
I.L. Buchbinder and S.M. Kuzenko, Ideas and methods of supersymmetry and supergravity or a walk through superspace, IOP, Bristol U.K. (1998).
I.L. Buchbinder, S.J. Gates Jr., W.D. Linch III and J. Phillips, New 4D, N = 1 superfield theory: model of free massive superspin-3/2 multiplet, Phys. Lett. B 535 (2002) 280 [hep-th/0201096] [SPIRES].
G. Girardi, R. Grimm, M. Muller and J. Wess, Antisymmetric tensor gauge potential in curved superspace and a (16 + 16) supergravity multiplet, Phys. Lett. B 147 (1984) 81 [SPIRES].
W. Lang, J. Louis and B.A. Ovrut, (16 + 16) supergravity coupled to matter: the low-energy limit of the superstring, Phys. Lett. B 158 (1985) 40 [SPIRES].
W. Siegel, 16/16 supergravity, Class. Quant. Grav. 3 (1986) L47 [SPIRES].
S. Ferrara, L. Girardello, T. Kugo and A. Van Proeyen, Relation between different auxiliary field formulations of N = 1 supergravity coupled to matter, Nucl. Phys. B 223 (1983) 191 [SPIRES].
Author information
Authors and Affiliations
Corresponding author
Additional information
ArXiv ePrint: 1002.4932
Rights and permissions
About this article
Cite this article
Kuzenko, S.M. Variant supercurrent multiplets. J. High Energ. Phys. 2010, 22 (2010). https://doi.org/10.1007/JHEP04(2010)022
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP04(2010)022