The Riemann normal coordinate expansion method is generalized to a Kähler manifold. The Kähler potential and holomorphic coordinate transformations are used to define normal coordinates preserving the complex structure. The existence of these Kähler normal coordinates is shown explicitly to all orders. The formalism is applied to background field methods in supersymmetric nonlinear sigma models.
ASJC Scopus subject areas
- Physics and Astronomy (miscellaneous)