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.
Similar content being viewed by others
References
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.
Buchdahl, H. A. (1958).Nuo. Cim.,10, 96; (1982).J. Phys. A (Math. Gen.),15, 1057–1062.
Penrose, R. (1960).Ann. Phys.,10, 171; (1965).Proc. Roy. Soc. A,159.
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.
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.
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.
Benn, I. M., Panahi, M., Tucker, R. W. (1985).Clas. Quan. Grav.,2, L109.
Dowker, J. S., and Dowker, Y. P. (1966).Proc. Roy. Soc. A,294, 175–194.
Benn, I. M., and Tucker, R. W.,An Introduction to Spinors and Geometry with Applications in Physics (A. Hilger), to be published.
Author information
Authors and Affiliations
Additional information
We are grateful to G. R. Allcock for helpful correspondence.
Rights 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
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00759147