Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2004-01-28
Phys.Lett.B323:296-304,1994
Physics
High Energy Physics
High Energy Physics - Theory
15 pages, LaTeX
Scientific paper
10.1016/0370-2693(94)91223-8
The sigma model approach to the closed bosonic string on the affine-metric manifold is considered. The two-loop metric counterterms for the nonlinear two-dimensional sigma model with affine-metric target manifold are calculated. The correlation of the metric and affine connection is considered as the result of the ultraviolet finiteness (or beta-function vanishing) condition for the nonlinear sigma model. The examples of the nonflat nonRiemannian manifolds resulting in the trivial metric beta-function are suggested.
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