Deformation of Gauge Groups. Gravitation

May, 1978
28 pages
Published in:
  • J.Math.Phys. 20 (1979) 2264-2271
Report number:
  • UCLA/78/TEP/6

Citations per year

1981199220032014202402468
Abstract: (AIP)
This is a review, and an attempt at completion, of the ’’Gupta program,’’ the ultimate goal of which is e i t h e r to show that Einstein’s theory of gravitation is the only self‐consistent field theory of interacting, massless, spin‐2 particles in flat space o r to discover interesting alternatives. It is useful to notice that the gauge group of general relativity is a deformation (in a mathematically precise sense) of the gauge group associated with the massless, spin‐2 free field. The uniqueness of Einstein’s theory depends on the stability of its gauge group with respect to a class of differentiable deformations. A generalized Gupta program for massless fields of arbitrary spins is proposed.
  • GAUGE FIELD THEORY
  • GRAVITATION
  • GROUP THEORY: GAUGE
  • MATHEMATICS