Abstract
The construction of locally supersymmetric actions involves usually long calculations. These can be facilitated by making effective use of a maximal amount of symmetry. The largest nontrivial extension of the Poincare algebra is the conformal algebra. Even for constructing actions which only exhibit super-Poincare invariance, one can start by constructing a superconformal jnvariant one, and then impose gauge choices to break the extra symmetries. It turns out that this way of proceeding is efficient. Moreover it clarifies the structure of the theory. In 2 dimensions the importance of the superconformal invariance is well known. String theories owe their consistency to conformal invariance.
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REFERENCES
M. Kaku, P. Townsend, P. van Nieuwenhuizen, Phys. Rev. D17(1978) 3179. B. deWit, in “Supersymmetry and Supergravity 1982”, eds. S. Ferrara, J.G. Taylor, and P. van Nieuwenhuizen (World Scientific, 1983). A. Van Proeyen, in “Supersymmetry and Supergravity 1983”, ed.
B. Milewski (World Scientific, 1983)., R. Gastmans, A. Servrin, W. Troost, A. Van Proeyen, preprint Leuven, KUL-TF-86/6 and in the proceedings of the Berkeley conference, 1986.
J.W. van Holten, Acta Physica Polonica, proceedings of the Zakopane school, to be published. A. Sevrin and J.W. van Holten, forthcoming publication.
S. Coleman, J. Mandula, Phys. Rev. 159(1967) 1251.
V.G. Kac, Commun. Math. Phys. 53(1977) 31.
W. Nahm, Nucl. Phys. B135(1978) 149.
J. Joos, licenciaatsthesis, K.U. Leuven, 1986.
E. Cremmer, in “Superspace and Supergravity”, eds. S.W. Hawking, M. Rocek (Cambridge University Press, 1981).
P. Ramond, J.H. Schwarz, Phys. Lett. B64(1976) 75.
J.W. van Holten, A. Van Proeyen, J. Phys. A15(1982) 3763.
E. Bergshoeff, M. de Roo, B. de Wit, Nucl. Phys. B217(1983) 489.
B. de Wit, D.Z. Freedman, Phys. Rev. D12(1975) 2286.
M.F. Sohnius, Z. Physik C18(1983) 229.
S.P. Bedding, Nucl. Phys. B236(1984) 368; Phys. Lett. 157B(1985) 183.
B. de Wit, J.W. van Holten and A. Van Proeyen, Phys. Lett. 95B(1980) 51.
M. Ademollo et al., Nucl. Phys. Blll (1976) 77; B114(1976) 297.
E. Vergshoeff, E. Sezgin, H. Nishino, Phys. Lett. 166B(1986) 141. P. van Nieuwenhuizen, IJMPA 1(1986) 155. M. Hayashi, S. Nojiri and S. Uehara, Kyoto preprint RRK 86–2. J.W. van Holten, preprint NIKHEF Amsterdam, 1986.
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© 1987 Plenum Press, New York
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Van Proeyen†, A. (1987). Superconformal Algebras. In: Lee, H.C., Elias, V., Kunstatter, G., Mann, R.B., Viswanathan, K.S. (eds) Super Field Theories. NATO Science Series, vol 160. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-0913-0_33
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DOI: https://doi.org/10.1007/978-1-4613-0913-0_33
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