Kaehler Normal Coordinate Expansion in Supersymmetric Theories.

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  • Higashijima Kiyoshi
    Department of Physics, Graduate School of Science, Osaka University<BR> Toyonaka 560-0043, Japan
  • Nitta Muneto
    Department of Physics, Tokyo Institute of Technology, Tokyo 152-8551, Japan

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  • Kahler Normal Coordinate Expansion in Supersymmetric Theories

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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.

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