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Superfield algebraic structures with Grassmann-valued structure constants

  • II. Lie Superalgebras, Supersymmetries and Related Algebraic Models
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Group Theoretical Methods in Physics

Part of the book series: Lecture Notes in Physics ((LNP,volume 313))

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Abstract

Generalized algebras and superalgebras whose generators and structure constants take values in a Grassmann algebra are introduced. They arise when the superfield formalism is used to describe equal time (super)algebras.

Lecture delivered (by J.A.) at the XVI International Colloquium on Group Theoretical Methods in Physics, Varna, Bulgaria, June 1987.

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References

  1. S.L. Adler y R.F. Dashen, Current Algebras and their Applications to Particle Physics, W.A. Benjamin, N.Y. (1968).

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  3. The quantization of superfields may be accomplished in various ways. The superfield commutators may be obtained as superspace Green functions for the free field equations and by functional methods (see, e.g., J. Wess and J. Bagger, Supersymmetry and Supergravity, Princeton Univ. Press (1983); S. Gates Jr., M.T. Grisaru, M. Roček and W. Siegel, Superspace, Benjamin-Cummings, (1983)); by using the Dirac quantization formalism (J. Barcelos-Neto, A. Das and W. Scherer, Phys. Rev. D34, 1108 (1986), and by a generalization to Superspace of the Umezawa-Takahashi method (J.A. de Azcárraga, J. Lukierski and P. Vindel (4); Fortschr. der Phys., in press). A “canonical Superspace” has been discussed recently by R.A. Marques Pereira, Class. and Quantum Grav. 4, 411 (1987).

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  6. P. Vindel, unpublished.

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  7. J.A. de Azcárraga, J. Lukierski and P. Vindel, Phys. Lett. B195, 195 (1987).

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  8. F.A. Berezin, The Method of Second Quantization, Academic Press (1966); Introduction to Superanalysis (edited by A.A. Kirillov), D. Reidel (1987).

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  9. J.A. de Azcárraga and J. Lukierski, Trieste preprint IC/87/68, submitted to J. Math. Phys.

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Author information

Authors and Affiliations

  1. Depto. de Física Teórica and IFIC, E-46100, Burjasot (Valencia), Spain

    J. A. de Azcárraga

  2. Institute for Theoretical Physics, University of Wrocław, PL-50205, Wrocław, Poland

    J. Luklerski

Authors
  1. J. A. de Azcárraga
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  2. J. Luklerski
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Editor information

Heinz-D. Doebner Jörg-D. Hennig Tchavdar D. Palev

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© 1988 Springer-Verlag

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de Azcárraga, J.A., Luklerski, J. (1988). Superfield algebraic structures with Grassmann-valued structure constants. In: Doebner, HD., Hennig, JD., Palev, T.D. (eds) Group Theoretical Methods in Physics. Lecture Notes in Physics, vol 313. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0012265

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  • DOI: https://doi.org/10.1007/BFb0012265

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-50245-6

  • Online ISBN: 978-3-540-45959-0

  • eBook Packages: Springer Book Archive

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