Skip to main content

Mathematics for classical supergravities

II. Superfield Theory

Part of the Lecture Notes in Mathematics book series (LNM,volume 1251)

Keywords

  • Vector Bundle
  • Formal Series
  • Local Chart
  • Principal Fiber Bundle
  • Einstein Cartan Theory

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   34.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   46.00
Price excludes VAT (Canada)
  • Compact, lightweight 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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. D. Bao, Y. Choquet-Bruhat, J. Isenberg, P. Yasskin, J. Math. Phys. 26 (2), 329–333 (1985).

    CrossRef  MathSciNet  Google Scholar 

  2. M. Batchelor, The structure of supermanifolds, Trans. Amer. Maths. Soc. 253 (1979) 329–338. Two approaches to supermanifolds, Trans. amer. Maths. Soc. 258 (1980) 257–270.

    CrossRef  MathSciNet  MATH  Google Scholar 

  3. U. Bruzzo and R. Cianci, Lett. in Maths. Phys. 8, (1984) 279–288.

    CrossRef  MathSciNet  Google Scholar 

  4. Y. Choquet-Bruhat and C. DeWitt-Morette, "Analysis Manifolds and Physics" North Holland 1982.

    Google Scholar 

  5. Y. Choquet-Bruhat, "Supermanifolds and Supergravities" in "Geometrodynamics Proceedings" A. Prastaro ed., World Scientific 1985.

    Google Scholar 

  6. Y. Choquet-Bruhat, "Supergravities" in "Gravitation, Geometry and Relativistic Physics", Springer Lecture Notes in Phys. 219, P. Tourrenc ed. 1984.

    Google Scholar 

  7. Y. Choquet-Bruhat, The Cauchy Problem in Classical Supergravity, Lett. in Math. Phys. 7, 459–467 (1983).

    CrossRef  MathSciNet  MATH  Google Scholar 

  8. Y. Choquet-Bruhat, The Cauchy Problem in extended Supergravity, N=1, d=11. Comm. in Maths. Phys. 97, 541–552 (1985).

    CrossRef  MathSciNet  MATH  Google Scholar 

  9. E. Cremmer, B. Julia, J. Scherk, Supergravity theory in 11 dimensions. Phys. Lett. 76B, 4 (1978) 409–411.

    CrossRef  MATH  Google Scholar 

  10. S. Deser and B. Zumino, Consistent Supergravity, Phys. Letters 62 no3 (1976) 335–337.

    CrossRef  MathSciNet  Google Scholar 

  11. B. DeWitt, Dynamical Theory of Groups and Fields. Gordon and Breach 1965.

    Google Scholar 

  12. B. DeWitt, Supermanifolds. Cambridge University Press 1984.

    Google Scholar 

  13. D.Z. Freedman, P. Van Nieuwenhuisen and S. Ferrara. Progress towards a theory of Supergravity, Phys. Rev. D, 13 no12 (1976) 3214–3218.

    CrossRef  MathSciNet  Google Scholar 

  14. M. Green and J. Schwartz, Phys. Let. 136 B (1984) 367.

    CrossRef  Google Scholar 

  15. A. Jadczyk and K. Pilch, Comm. Math. Phys. 78, 373–390 (1981).

    CrossRef  MathSciNet  Google Scholar 

  16. R. Kerner, Ann. Inst. Poincaré 9 (1968) 143.

    MathSciNet  Google Scholar 

  17. B. Kostant, Graded Manifolds in "Differential geometric methods in Mathematical Physics" Springer Lecture Notes, 570, 177–306 (1977).

    MathSciNet  Google Scholar 

  18. A. Perez-Rendon and D.H. Ruiperez, "Towards a classical field theory on graded manifolds" Journées Relativistes 1983, S. Benenti, M. Ferraris, M. Francaviglia ed. Pitagora 1985.

    Google Scholar 

  19. A. Rogers, A global theory of supermanifolds, J. Maths. Phys. 21 (6) (1980) 1352–1365.

    CrossRef  MathSciNet  MATH  Google Scholar 

  20. D.H. Ruiperez and J. Munoz-Masqué, Global variational calculus on graded manifolds, J. Maths. pures et appliquées, 64, 1 (1985) 87–101.

    MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1987 Springer-Verlag

About this paper

Cite this paper

Choquet-Bruhat, Y. (1987). Mathematics for classical supergravities. In: García, P.L., Pérez-Rendón, A. (eds) Differential Geometric Methods in Mathematical Physics. Lecture Notes in Mathematics, vol 1251. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0077316

Download citation

  • DOI: https://doi.org/10.1007/BFb0077316

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-17816-3

  • Online ISBN: 978-3-540-47854-6

  • eBook Packages: Springer Book Archive