On the relation between effective supersymmetric actions in different dimensions

Details On the relation between effective supersymmetric actions in different dimensions On the relation between effective supersymmetric actions in different dimensions

2002-02-05

arxiv.org/abs/hep-th/0202027v1

Phys.Atom.Nucl.66:2238-2244,2003; Yad.Fiz.66:2290-2296,2003

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, 2 figures

Scientific paper

10.1134/1.1634333

We make two remarks: (i) Renormalization of the effective charge in a 4--dimensional (supersymmetric) gauge theory is determined by the same graphs and is rigidly connected to the renormalization of the metric on the moduli space of the classical vacua of the corresponding reduced quantum mechanical system. Supersymmetry provides constraints for possible modifications of the metric, and this gives us a simple proof of nonrenormalization theorems for the original 4-dimensional theory. (ii) We establish a nontrivial relationship between the effective (0+1)-dimensional and (1+1)-dimensional Lagrangia (the latter represent conventional Kahlerian sigma models).

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