Nuclear and string fields on a Kähler manifold

Abstract

An arbitrary oriented Riemannian manifold of real dimension two is a complex manifold that is also the world sheet of an oriented closed string. Another example is the complex Grassmann manifold ofp-planes inC 2p, which is shown to carry the most symmetric state of9Li. In both cases we are concerned with a chiral spinor field on a curved surface that gives rise to anyons in the nuclear case. Specifically we find a distorted torus on a Kahler manifold which is also a Calabi-Yau space.