Kahler Normal Coordinate Expansion in Supersymmetric Theories | Zendy

Kiyoshi Higashijima | Zendy; Muneto Nitta | Zendy

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Kahler Normal Coordinate Expansion in Supersymmetric Theories

Author(s) -

Kiyoshi Higashijima,

Muneto Nitta

Publication year - 2001

Publication title -

progress of theoretical physics

Language(s) - English

Resource type - Journals

eISSN - 1347-4081

pISSN - 0033-068X

DOI - 10.1143/ptp.105.243

Subject(s) - physics , holomorphic function , normal coordinates , formalism (music) , coordinate system , kähler manifold , sigma model , mathematical physics , elliptic coordinate system , nonlinear system , manifold (fluid mechanics) , sigma , spherical coordinate system , mathematical analysis , quantum mechanics , geometry , mathematics , mechanical engineering , art , musical , molecule , engineering , visual arts

The Riemann normal coordinate expansion method is generalized to a Kahlermanifold. The Kahler potential and holomorphic coordinate transformations areused to define a normal coordinate preserving the complex structure. Theexistence of this Kahler normal coordinate is shown explicitly to all orders.The formalism is applied to background field methods in supersymmetricnonlinear sigma models.Comment: LaTeX, 23 pages, no figures, published versio

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