Skip to main content
Log in

A lagrangian formulation of high-spin fields coupled to gravity

  • Research Articles
  • Published:
General Relativity and Gravitation Aims and scope Submit manuscript

Abstract

A coupling of high (half-integer) spin fields to gravity is discussed in terms of symmetric tensor-valued spinors for which restrictive integrability constraints are avoided. The theory is generated from a spin-invariant action which provides a means of computing the associated stress tensor. Explicit no-ghost solutions are presented and a covariance of the system under a local conformai isometry group of space-time is pointed out.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Dirac, P. A. M. (1936).Proc. Roy. Soc. A,447; Fierz, M., and Pauli, W. (1939).Proc. Roy. Soc. A,173, 211; Wild, F. (1947).Proc. Roy. Soc. A,253; Johnson, K., and Sudarshan, E. (1961).Ann. Phys.,13, 126.

  2. Buchdahl, H. A. (1958).Nuo. Cim.,10, 96; (1982).J. Phys. A (Math. Gen.),15, 1057–1062.

    Google Scholar 

  3. Penrose, R. (1960).Ann. Phys.,10, 171; (1965).Proc. Roy. Soc. A,159.

    Google Scholar 

  4. Velo, G., and Zwanziger, D. (1969).Phys. Rev.,186, 1337; Cox, W. (1978).J. Phys. A (Math. Gen.),11, 1167; Allock, G. R., and Hall, S. F. (1978).J. Phys. A (Math. Gen.),11, 2305.

    Google Scholar 

  5. Aragone, C., and Desser, S. (1980).Nuo. Cim. B,57, 33; (1980).Nucl. Phys.,170, 329; (1979). InSupergravity, Van Nieuwenhuizen, P., and Freedman, D. Z., eds. (North Holland, Amsterdam), p. 257.

    Google Scholar 

  6. Kawakami, A., and Kamefuchi, S. (1967).Nuo. Cim. A.,48, 239; Grisaru, M. T., Pendleton, H., and Van Nieuwenhuizen, P. (1977).Phys. Rev. D,2, 996; Fang, J., and Fronsdal, C. (1978).Phys. Rev. D,18, 3600; Berends, F. A., van Holten, J. W., and Van Nieuwenhuizen, P. (1979).Nucl. Phys. B,154, 261; Berends, F. A., van Holten, J. W., de Witt, B., and Van Nieuwenhuizen, P. (1980).J. Phys. A,1643; (1979).Phys. Letts. B,83, 188.

    Google Scholar 

  7. Benn, I. M., Panahi, M., Tucker, R. W. (1985).Clas. Quan. Grav.,2, L109.

    Google Scholar 

  8. Dowker, J. S., and Dowker, Y. P. (1966).Proc. Roy. Soc. A,294, 175–194.

    Google Scholar 

  9. Benn, I. M., and Tucker, R. W.,An Introduction to Spinors and Geometry with Applications in Physics (A. Hilger), to be published.

Download references

Author information

Authors and Affiliations

Authors

Additional information

We are grateful to G. R. Allcock for helpful correspondence.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Al-Saad, A., Benn, I.M. & Tucker, R.W. A lagrangian formulation of high-spin fields coupled to gravity. Gen Relat Gravit 19, 1115–1125 (1987). https://doi.org/10.1007/BF00759147

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00759147

Keywords

Navigation