Supertranslations to All Orders*
Rainer Dick
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DOI: 10.4236/jmp.2010.11007   PDF    HTML     4,731 Downloads   8,755 Views   Citations

Abstract

We calculate the transformation laws of the general linear superfield and chiral superfields under supertranslations to all orders in the translation parameters . We use the superfield formalism with complete expansions of the component fields in the coordinate shifts . The results show in particular how a general supertranslation transforms each component field of a supermultiplet into a complete superfield. The results also provide complete parametri-zations of orbits of component fields under supertranslations.

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R. Dick, "Supertranslations to All Orders*," Journal of Modern Physics, Vol. 1 No. 1, 2010, pp. 59-66. doi: 10.4236/jmp.2010.11007.

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1] R. Clarkson, A. M. Ghezelbash and R. B. Mann, “New Reducible Membrane Solutions in D=11 Supergravity,” Journal of High Energy Physics, 2004.
[2] A. M. Ghezelbash, “Supergravity Solutions without Tri-Holomorphic U (1) Isometries,” Physical Review D, Vol. 78, 2008, p. 126002.
[3] de B. Wit, H. Nicolai and H. Samtleben “Gauged Super-gravities, Tensor Hierarchies and M-Theory,” Journal of High Energy Physics, Vol. 2, 2008, p. 044.
[4] G. Compère, K. Copsey, de S. Buyl and R. B. Mann, “Solitons in Five-Dimensional Minimal Supergravity: Local Charge, Exotic Ergoregions and Violations of the BPS Bound,” Journal of High Energy Physics, Vol. 12, No. 47, 2009, p. 46.
[5] U. Gran, J. Gutowski and G. Papadopoulos, “M-Theory Backgrounds with 30 Killing Spinors are Maximally Su-persymmetric,” ARXIV, 2010.
[6] R. Britto, E. Buchbinder, F. Cachazo and B. Feng, “One-Loop Amplitudes of Gluons in SQCD,” Physical Review D, Vol. 72, 2005, p. 27.
[7] R. Dick, “Implications of a Dilaton in Gauge Theory and Cosmology,”Fortschr der Physik, Vol. 45, 1997, pp. 537-587.
[8] R. Dick, “Heterotic String Dark Matter from the Graviton Multiplet,” Physics Letters B, Vol. 510, 2001, pp. 10-16.
[9] J. McDonald and N. Sahu, “Kev Warm Dark Matter Via the Supersymmetric Higgs Portal,” Physical Review D, Vol. 79, 2009, p. 6.
[10] A. A. Bytsenko, S. D. Odintsov and S. Zerbini, “The Effective Action in Gauged Supergravity on Hyperbolic Background and Induced Cosmological Constant,” Phys-ics Letters B, Vol. 336, 1994, pp. 355-361.
[11] E. Elizalde, S. Jhingan, S. Nojiri, S. D.Odintsov, M. Sami and I. Thongkool, “Dark Energy Generated From a (Su-per) String Effective Action with Higher Order Curvature Corrections and a Dynamical Dilaton,” European Physi-cal Journal C, Vol. 53, 2008, pp. 447-457.
[12] A. E. Nelson and N. Seiberg, “R-symmetry Breaking Versus Supersymmetry Breaking,” Nuclear Physics B, Vol. 416, 1994, 46-62.
[13] K. A. Intriligator, N. Seiberg and D. Shih, Supersym-metry Breaking, R-symmetry Breaking and Metastable Vacua,” Journal of High Energy Physics, Vol. 7, 2007, p. 19.
[14] M. Dine, G. Festuccia and Z. Komargodski, “A Bound on the Superpotential,” ARXIV, 2009, p. 2527.
[15] J. Wess and J. Bagger, “Supersymmetry and Supergravity, 2nd Edition,” Princeton University Press, 1992.
[16] J. Wess and B. Zumino, “Supergauge Transformations in four Dimensions,” Nuclear Physics B, Vol. 70, pp. 39-50; “A Lagrangian Model Invariant under Supergauge Transforma-tions,” Physics Letters B, Vol. 49, 1974, pp. 52-54.
[17] A. Salam and J. Strathdee, “Supergauge Transforma-tions,” Nuclear Physics B, Vol. 76, 1974, pp. 477-482.
[18] S. Ferrara, J. Wess and B. Zumino, “Supergauge Multi-plets and Superfields,” Physics Letters B, Vol. 51, 1974, pp. 239-241.
[19] A. Salam and J. Strathdee, “On Superfields and Fermi-Bose Symmetry,” Physical Review D, Vol. 11, 1975, pp. 1521-1535.

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