Superconformal Generalization of the Chaotic Inflation Model \lambda
  \phi^4/4 - \xi/ 2 \phi^2 R
  A model of chaotic inflation based on the theory of a scalar field with
potential \lambda\phi^4 perfectly matches the observational data if one adds to
it a tiny non-minimal coupling to gravity -\xi/2 \phi^2 R with \xi > 0.002. We
describe embedding of this model into the superconformal theory with
spontaneous breaking of superconformal symmetry, and into supergravity. A model
with small \xi is technically natural: setting the small parameter \xi to zero
leads to a point of enhanced symmetry in the underlying superconformal theory.
