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Bosonic String in Affine-Metric Curved Space

Vasily E. Tarasov
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Abstract

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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Vasily E. Tarasov. 2004-01-28. Bosonic String in Affine-Metric Curved Space. https://doi.org/10.1016/0370-2693(94)91223-8

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