NUCLEAR-FIELD THEORY WITH CHIRAL-SYMMETRY ON A CALABI-YAU MANIFOLD

The purpose of this contribution is to show how a nuclear field theory follows naturally from the structure of four-dimensional Riemannian g eometry. A Yang-Mills Field is introduced by constructing fibers that include all possible exchanges of spin, parity, and charge such that t he collective quantum numbers remain the same. In this way O (4) inter nal symmetry transformations are found and a connection is obtained by exponentiation of a CP-invariant operator C associated with the groun d state. The metric is Calabi-Yau and Einstein. Carbon-13 is chosen as an example because it is the lightest nucleus to exhibit small spin m utations even though there is no deformation parameter in the O (4) co mmutation relations. Instead, a supersymmetric transformation replaces a quantum group. Mirror symmetry is also discussed and because a dens ity functional approach is used it is possible to regard the nucleus a s a statistical ensemble.