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Kahler Normal Coordinate Expansion in Supersymmetric Theories

High Energy Physics - Theory 2009-10-31 v4 General Relativity and Quantum Cosmology High Energy Physics - Phenomenology Mathematical Physics math.MP

Abstract

The Riemann normal coordinate expansion method is generalized to a Kahler manifold. The Kahler potential and holomorphic coordinate transformations are used to define a normal coordinate preserving the complex structure. The existence of this Kahler normal coordinate is shown explicitly to all orders. The formalism is applied to background field methods in supersymmetric nonlinear sigma models.

Keywords

Cite

@article{arxiv.hep-th/0006027,
  title  = {Kahler Normal Coordinate Expansion in Supersymmetric Theories},
  author = {Kiyoshi Higashijima and Muneto Nitta},
  journal= {arXiv preprint arXiv:hep-th/0006027},
  year   = {2009}
}

Comments

LaTeX, 23 pages, no figures, published version