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Supersymmetric Positivity and Supersymmetric Hilbert Space

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We introduce simple notions of positivity and Hilbert spaces of supersym metric functions naturally suggested by the superspace formulation of supersymmetric quantum field theory. Several applications are indicated.

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References

  1. Rudolph, O.: Comm. Math. Phys. 214 (2000), 449.

    Google Scholar 

  2. Deligne, P.et al. (eds), Quantum Fields and Strings: A Course for Mathematicians, Amer. Math. Soc., Providence, 1999.

    Google Scholar 

  3. Rühl, W. and Yunn, B. C.: Fortschr. Phys. 23 (1975), 431; 23 (1975), 451.

    Google Scholar 

  4. Nagamachi, S. and Kobayashi, Y.: Axioms of supersymmetric quantum fields, Unpublished preprint

  5. Osterwalder, K.: Supersymmetric quantum field theory, In: V. Rivasseau (ed), Results in Field Theory, Statistical Mechanics and Condensed Matter Physics, Lecture Notes in Phys. 446, Springer, New York, 1995, 117.

    Google Scholar 

  6. Ferrara, S., Savoy, C. A. and Zumino, B.: Phys. Lett. B 100 (1981), 393.

    Google Scholar 

  7. West, P.: Introduction to Supersymmetry and Supergravity, 2nd edn, World Scientific, Singapore, 1990.

    Google Scholar 

  8. Srivastava, P. P.: Supersymmetry, Superfields and Supergravity: An Introduction, IOP Publishing, Adam Hilger, Bristol, 1986.

    Google Scholar 

  9. Wess, J. and Bagger, J.: Supersymmetry and Supergravity, 2nd edn, Princeton Univ. Press, 1992.

  10. Constantinescu, F. and Scharf, G.: Lett. Math. Phys. 52 (2000), 113.

    Google Scholar 

  11. Constantinescu, F., Gut, M. and Scharf, G.: Quantized superfields, Ann. Phys. (Leipzig) 11 (2002), 335.

    Google Scholar 

  12. Lopuszanski, J.: An Introduction to Symmetry and Supersymmetry in Quantum Field Theory, World Scientific, Singapore, 1991.

    Google Scholar 

  13. Jost, R.: The General Theory of Quantized Fields, Amer. Math. Soc., Providence, 1965.

    Google Scholar 

  14. Epstein, H. and Glaser, V.: Ann. Inst. H. Poincarè A 19 (1973), 211.

    Google Scholar 

  15. Prange, D.: Kausale Störungstheorie und differentielle Renormierung, Diplomarbeit, II. Institut für Theoretische Physik, Universität Hamburg, 1997.

  16. Gates, S. T., Jr., Grisaru, M. T., Rocek, M. and Siegel, W.: Superspace, Benjamin, New York, 1983.

    Google Scholar 

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Constantinescu, F. Supersymmetric Positivity and Supersymmetric Hilbert Space. Letters in Mathematical Physics 62, 111–125 (2002). https://doi.org/10.1023/A:1021678614167

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  • DOI: https://doi.org/10.1023/A:1021678614167

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