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Prog. Theor. Phys. Vol. 105 No. 2 (2001) pp. 243-260

Kähler Normal Coordinate Expansion in Supersymmetric Theories

Kiyoshi Higashijima^1,*) and Muneto Nitta^2,**)

¹Department of Physics, Graduate School of Science, Osaka University
Toyonaka 560-0043, Japan
²Department of Physics, Tokyo Institute of Technology, Tokyo 152-8551, Japan

(Received June 13, 2000)

Abstract:

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.

URL : http://ptp.ipap.jp/link?PTP/105/243/
DOI : 10.1143/PTP.105.243

^*)E-mail: higashij@phys.sci.osaka-u.ac.jp.
^**)E-mail: nitta@th.phys.titech.ac.jp.

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Citing Article(s) :

1. Progress of Theoretical Physics Vol. 108 No. 1 (2002) pp. 185-202 :

   Normal Coordinates in Kähler Manifolds and the Background Field Method

   Kiyoshi Higashijima, Etsuko Itou and Muneto Nitta

2. Progress of Theoretical Physics Vol. 110 No. 1 (2003) pp. 107-114 :

   Unitarity Bound of the Wave Function Renormalization Constant

   Kiyoshi Higashijima and Etsuko Itou

3. Progress of Theoretical Physics Vol. 110 No. 3 (2003) pp. 563-578 :

   Three Dimensional Nonlinear Sigma Models in the Wilsonian Renormalization Method

   Kiyoshi Higashijima and Etsuko Itou

4. Progress of Theoretical Physics Vol. 117 No. 6 (2007) pp. 1139-1156 :

   Three Dimensional Conformal Sigma Models

   Takeshi Higashi, Kiyoshi Higashijima and Etsuko Itou

5. Progress of Theoretical Physics Supplement No.164 (2006) pp. 103-108 :

   Wilsonian Renormalization Approach to Nonlinear Sigma Models

   Takeshi Higashi, Kiyoshi Higashijima and Etsuko Itou

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