Skip to main content
SpringerLink
Log in

Supergravity

  • Chapter
Super Field Theories

Part of the book series: NATO Science Series ((NSSB,volume 160))

  • 303 Accesses

Abstract

In these lectures we shall describe three topics in supergravity. We start by discussing supergravity in 10 space-time dimensions, whose importance stems from the fact that theories of this type arise in the zero-slope limit of superstrings. We emphasize the structure of the underlying supermultiplets, and devote particular attention to the off- shell features of Einstein-Yang-Mills supergravity. Subsequently we discuss the issue of consistent truncations of theories with extra compactified dimensions. Most of this discussion is in the context of Kaluza-Klein supergravity, and we summarize some of the results obtained in d=ll supergravity with the extra dimensions compactified to the seven- sphere. Finally we consider some new topological terms that can be present in gauge invariant actions, which have been found in the context of d=4, N=2 Einstein-Yang-Mills supergravity. These terms have a surprising mathematical structure which is related to Lie-algebra cohomology.

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

Access this chapter

Log in via an institution
eBook
USD 16.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • 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

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. R. Slansky, Phys. Rep. 79 (1981) 1.

    Article  MathSciNet  ADS  Google Scholar 

  2. L. Brink, J. Scherk and J.H. Schwarz, Nucl. Phys. B121 (1977) 77. F. Gliozzi, J. Scherk and D. Olive, Nucl. Phys. B122 (1977) 253.

    Article  MathSciNet  ADS  Google Scholar 

  3. M.B. Green and J.H. Schwarz, Phys. Lett. 122B (1983) 143; J.H. Schwarz and P.C. West, Phys. Lett. 126B (1983) 301; J.H. Schwarz, Nucl. Phys. B226 (1983) 269; P.S. Howe and P.C. West, Nucl. Phys. B238 (1984) 181.

    ADS  Google Scholar 

  4. E. Cremmer, B. Julia and J. Scherk, Phys. Lett. 76B (1978) 409.

    ADS  Google Scholar 

  5. A.H. Chamseddine, Nucl. Phys. B185 (1981) 403.

    Article  ADS  Google Scholar 

  6. E. Bergshoeff, M. de Roo, B. de Wit and P. van Nieuwenhuizen, Nucl. Phys. B195 (1982) 97.

    Article  ADS  Google Scholar 

  7. A.H. Chamseddine, Phys. Rev. 24D (1981) 3065.

    MathSciNet  ADS  Google Scholar 

  8. E. Bergshoeff, M. de Roo and B. de Wit, Nucl. Phys. B217 (1983) 489.

    Article  ADS  Google Scholar 

  9. S.J. Gates and H. Nishino, Phys. Lett. 157B (1985) 157.

    MathSciNet  ADS  Google Scholar 

  10. B. de Wit, in “Supersymmetry, Supergravity and Superstrings’86”, eds. B. de Wit, P. Fayet, M.T. Grisaru (World Scient., to appear).

    Google Scholar 

  11. G.F. Chapline and N.S. Manton, Phys. Lett. 120B (1983) 109.

    MathSciNet  ADS  Google Scholar 

  12. M.B. Green and J.H. Schwarz, Phys. Lett. 149B (1984) 117.

    MathSciNet  ADS  Google Scholar 

  13. A. Salam and E. Sezgin, Phys. Scripta 32 (1985) 283.

    Article  ADS  Google Scholar 

  14. P. Howe, H. Nicolai and A. Van Proeyen, Phys. Lett. 112B (1982) 446.

    ADS  Google Scholar 

  15. A. Salam and J. Strathdee, Ann. Phys. (N.Y.) 141 (1982) 316.

    Article  MathSciNet  ADS  Google Scholar 

  16. B. de Wit and H. Nicolai. Nucl. Phys. B231 (1984) 506.

    Article  ADS  Google Scholar 

  17. M.J. Duff, B.E.W. Nilsson, C.N. Pope and N.P. Warner, Phys. Lett. 149B (1984) 90.

    MathSciNet  ADS  Google Scholar 

  18. D.J. Gross, J. Harvey, E. Martinec and R. Rohm, Nucl. Phys. B267 (1986) 75. M.D. Freeman and C.N. Pope, Phys. Lett. 174B (1986) 48. M.D. Freeman, C.N. Pope, M.F. Sohnius and K.S. Stelle, Phys. Lett. 178B (1986) 199. D.J. Gross and E. Witten, Nucl. Phys. 277B (1986) 1. P. Candelas, M.D. Freeman, C.N. Pope, M.J. Sohnius and K.S. Stelle, Phys. Lett. 177B (1986) 341. D. Chang and H. Nishino, Maryland preprint PPN 86-178.

    Article  MathSciNet  ADS  Google Scholar 

  19. E. Cremmer and B. Julia, Nucl. Phys. B159 (1979) 141.

    Article  MathSciNet  ADS  Google Scholar 

  20. M.J. Duff and C.N. Pope, Nucl. Phys. B255 (1985) 355. See also, M.J. Duff, in “Supersymmetry”, proc. of the NATO Advanced Study Institute, Bonn, 1984, eds. K. Dietz, R. Flume, G. von Gehlen and V. Rittenberg (Plenum, 1985).

    Article  MathSciNet  ADS  Google Scholar 

  21. M.A. Awada, B.E.W. Nilsson and C.N. Pope, Phys. Rev. D29 (1984) 334.

    MathSciNet  ADS  Google Scholar 

  22. H. Nicolai, in proc. of the 1985 Les Houches Summer School, (North- Holland, to appear).

    Google Scholar 

  23. B. de Wit and H. Nicolai, Nucl. Phys. B281 (1987) 211.

    Article  ADS  Google Scholar 

  24. B. de Wit and H. Nicolai, Nucl. Phys. B208 (1982) 323.

    Article  ADS  Google Scholar 

  25. B. de Wit, H. Nicolai and N.P. Warner, Nucl. Phys. B255 (1985) 29.

    ADS  Google Scholar 

  26. B. de Wit, D.J. Smit, N.D. Hari Dass, Nucl. Phys. B283 (1987) 165.

    ADS  Google Scholar 

  27. A. Strominger, Nucl. Phys. B274 (1986) 253.

    Article  MathSciNet  ADS  Google Scholar 

  28. B. de Wit, P.G. Lauwers and A. Van Proeyen, Nucl. Phys. B255 (1985) 569.

    ADS  Google Scholar 

  29. B. de Wit, C.M. Hull and M. Roček, M., Utrecht preprint, Phys. Lett. B, to appear.

    Google Scholar 

  30. B. de Wit, Physica Scripta 34 (1986)…

    Google Scholar 

  31. R. Grimm, M.F. Sohnius and J. Wess, Nucl. Phys. B133 (1978) 275.

    Article  MathSciNet  ADS  Google Scholar 

  32. B. Zumino, Y-S. Wu and A. Zee, Nucl. Phys. B239 (1984) 477. B. Zumino, in: Relativity, Groups and Topology II (notes by K. Sibold), B.S. DeWitt and R. Stora, eds. (North-Holland, 1984). Stora, R., in: Recent Progress in Gauge Theories, H. Lehmann et al., eds. NATO ASJ Series B Physics Vol. 115(Plenum, 1984). W.A. Bardeen, and B. Zumino, Nucl. Phys. B244 (1984) 421. L. Alvarez-Gaumé and P. Ginsparg, Ann. Phys. (N.Y.) 161 (1985) 423.

    Article  MathSciNet  ADS  Google Scholar 

  33. J. Wess and B. Zumino, Phys. Lett. 37B (1971) 95. E. Witten, Nucl. Phys. B223 (1983) 422.

    MathSciNet  ADS  Google Scholar 

  34. S. Deser, R. Jackiw and S. Templeton, Ann. Phys. (N.Y.) 140 (1982) 372.

    Article  MathSciNet  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute for Theoretical Physics, Princetonplein 5, P.O. Box 80.006, 3508 TA, Utrecht, The Netherlands

    B. De Wit

Authors
  1. B. De Wit
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Chalk River Nuclear Laboratories, Chalk River, Ontario, Canada

    H. C. Lee

  2. University of Western Ontario, London, Ontario, Canada

    V. Elias

  3. University of Winnipeg, Winnipeg, Manitoba, Canada

    G. Kunstatter

  4. University Of Toronto, Toronto, Ontario, Canada

    R. B. Mann

  5. Simon Fraser University, Burnaby, British Columbia, Canada

    K. S. Viswanathan

Rights and permissions

Reprints and permissions

Copyright information

© 1987 Plenum Press, New York

About this chapter

Cite this chapter

De Wit, B. (1987). Supergravity. In: Lee, H.C., Elias, V., Kunstatter, G., Mann, R.B., Viswanathan, K.S. (eds) Super Field Theories. NATO Science Series, vol 160. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-0913-0_2

Download citation

  • DOI: https://doi.org/10.1007/978-1-4613-0913-0_2

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4612-8242-6

  • Online ISBN: 978-1-4613-0913-0

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation