Kähler normal coordinate expansion in supersymmetric theories

Kiyoshi Higashijima; Muneto Nitta

doi:10.1143/PTP.105.243

Kähler normal coordinate expansion in supersymmetric theories

Kiyoshi Higashijima, Muneto Nitta

Research output: Contribution to journal › Article › peer-review

30 Citations (Scopus)

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.

Original language	English
Pages (from-to)	243-260
Number of pages	18
Journal	Progress of Theoretical Physics
Volume	105
Issue number	2
DOIs	https://doi.org/10.1143/PTP.105.243
Publication status	Published - 2001 Feb
Externally published	Yes

ASJC Scopus subject areas

Physics and Astronomy (miscellaneous)

Access to Document

10.1143/PTP.105.243

Cite this

@article{c4629cb649954bdcac866fba99ac45af,

title = "K{\"a}hler normal coordinate expansion in supersymmetric theories",

abstract = "The Riemann normal coordinate expansion method is generalized to a K{\"a}hler manifold. The K{\"a}hler potential and holomorphic coordinate transformations are used to define normal coordinates preserving the complex structure. The existence of these K{\"a}hler normal coordinates is shown explicitly to all orders. The formalism is applied to background field methods in supersymmetric nonlinear sigma models.",

author = "Kiyoshi Higashijima and Muneto Nitta",

year = "2001",

month = feb,

doi = "10.1143/PTP.105.243",

language = "English",

volume = "105",

pages = "243--260",

journal = "Progress of Theoretical Physics",

issn = "0033-068X",

publisher = "Yukawa Institute for Theoretical Physics",

number = "2",

}

TY - JOUR

T1 - Kähler normal coordinate expansion in supersymmetric theories

AU - Higashijima, Kiyoshi

AU - Nitta, Muneto

PY - 2001/2

Y1 - 2001/2

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0035532559&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0035532559&partnerID=8YFLogxK

U2 - 10.1143/PTP.105.243

DO - 10.1143/PTP.105.243

M3 - Article

AN - SCOPUS:0035532559

SN - 0033-068X

VL - 105

SP - 243

EP - 260

JO - Progress of Theoretical Physics

JF - Progress of Theoretical Physics

IS - 2

ER -

Kähler normal coordinate expansion in supersymmetric theories

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this