Abstract
A formalism of geometric quantization recently introduced which is based on the consideration of Lie groups which are central extensions by U(1) is applied to the relativistic case by using the N-2 super Poincaré group with a central charge.
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References
V.Aldaya and J.A.de Azcarraga, J.Math.Phys. 23 1297 (1982). See also
V.Aldaya and J.A.de Azcarraga, Lett.NuovoCim,33, 341 (1982)
V.Aldaya, J.A.de Azcarraga and K.B.Wolf, Physics 114A, 468 (1982)
V.Aldaya and J.A.de Azcarraga, J.Math.Phys. 22 1425 (1981)
V.Bargmann, Ann.Math. 59, 1 (1954)
See R.Haag,J.Lopuszanski and M.Sohnius, Nucl.Phys. B88, 257 (1975)
For the Cartan calculus with anticommuting variables see. e.g. R.Hermann, Quantum and Fermion Differential Geometry, Interdisciplinary Mathematics vol.XVI, Math.Sci.Press, Ma. 1977.
For general reviews on supersymmetry and on Salam-Strathdee super-space see, e.g., P.Fayet anf S.Ferrara, Phys.Rep. 32C, 249 (1977) and A.Salam and J.Strathdee, Forts. der Phys. 26, 77 (1978).
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Aldaya, V., de Azcárraga, J.A. (1983). Relativistic wave equations from supergroup quantization. In: Serdaroğlu, M., Ínönü, E. (eds) Group Theoretical Methods in Physics. Lecture Notes in Physics, vol 180. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-12291-5_30
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DOI: https://doi.org/10.1007/3-540-12291-5_30
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