Skip to main content

Classifying N-Extended 1-Dimensional Super Systems

  • Chapter
Noncommutative Structures in Mathematics and Physics

Part of the book series: NATO Science Series ((NAII,volume 22))

Abstract

In this talk I will report some results obtained in a joint collaboration with A. Pashnev, concerning the classification of the irreducible representations of the N-extended Supersymmetry in 1 dimension and which find applications to the construction of Supersymmetric Quantum Mechanical Systems [1].

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. A. Pashnev and F. Toppan, On the Classification of N-Extended Supersymmetric Quantum Mechanical Systems, CBPF, JINR preprint, CBPF-NF-029/00, JINR E2-2000-193, hep-th/0010135, Dubna, Rio de Janeiro, 2000.

    Google Scholar 

  2. M. De Crombrugghe and V. Rittenberg, Ann. of Phys. 151 (1983), 99.

    Article  ADS  Google Scholar 

  3. M. Claudson and M.B. Halpern, Nucl.Phys. B250 (1985), 689.

    Google Scholar 

  4. B. de Wit, A.K. Tollsten and H. Nicolai, Nucl.Phys. B392 (1993), 3.

    Google Scholar 

  5. S. James Gates, Jr. and Lubna Rana, Phys. Lett. B352 (1995), 50; ibid. B369 (1996), 262.

    Google Scholar 

  6. R.A. Coles and G. Papadopoulos, Class. Quant. Grav. 7 (1990), 427–438.

    Google Scholar 

  7. A. Pashnev, Noncompact Extension of One-Dimensional Supersymmetry and Spinning Particle, JINR preprint, E2-91-536, Dubna, 1991.

    Google Scholar 

  8. M. Atiyah, R. Bott and A. Shapiro, Topology 3, (Suppl. 1) (1964), 3.

    Google Scholar 

  9. I. Porteous, Topological Geometry, van Nostand Rheinhold, London, (1969).

    MATH  Google Scholar 

  10. S. Okubo, Jou. Math. Phys., 32 (1991), 1657; ibid. 1669.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2001 Springer Science+Business Media Dordrecht

About this chapter

Cite this chapter

Toppan, F. (2001). Classifying N-Extended 1-Dimensional Super Systems. In: Duplij, S., Wess, J. (eds) Noncommutative Structures in Mathematics and Physics. NATO Science Series, vol 22. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0836-5_15

Download citation

  • DOI: https://doi.org/10.1007/978-94-010-0836-5_15

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-0-7923-6999-8

  • Online ISBN: 978-94-010-0836-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics