Normal Coordinates in Kahler Manifolds and the Background Field Method

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概要

• 論文の詳細を見る

• Riemann normal coordinates (RNC) are unsuitable for Kahler manifolds since they are not holomorphic. Instead, Kahler normal coordinates (KNC) can be defined as holomorphic coordinates. We prove that KNC transform as a holomorphic tangent vector under holomorphic coordinate transformations, and therefore that they are natural extensions of RNC to the case of Kaihler manifolds. The KNC expansion provides a manifestly covariant background field method preserving the complex structure in supersymmetric nonlinear sigma models.

• 2002-07-25

著者

• HIGASHIJIMA Kiyoshi

  Department of Physics, University of Tokyo

• Itou Etsuko

  Department Of Physics Graduate School Of Science Osaka University

• Higashijima K

  Department Of Physics Graduate School Of Science Osaka University

• Higashijima Kiyoshi

  Department Of Physics Graduate School Of Science Osaka University

• NITTA Muneto

  Department of Physics, Graduate School of Science, Osaka University

• Nitta Muneto

  Department Of Physics And Research And Education Center For Natural Sciences Keio University

• Nitta Muneto

  Department Of Physics Purdue University

• HIGASHIJIMA Kiyoshi

  Department of Physics,Graduate School of Science Osaka University

• NITTA Muneto

  Department of Physics, Purdue University

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