Geodesic
Geometry of dual two-dimensional nonlinear $\sigma$ models
Teoretičeskaâ i matematičeskaâ fizika, Tome 84 (1990) no. 2, pp. 173-180 Cet article a éte moissonné depuis la source Math-Net.Ru

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Geometrical aspects of duality in two-dimensional nonlinear $\sigma$ models are considered. The metric and torsion potential are found explicitly for the dual versions of two theories: a) the dimensional reduction to $d=2$ of the self-interaction of an $N=2$, $d=4$ tensor supermultiplet represented by a sum of an “unimproved” (linear) and “improved” (nonlinear) free action, b) the two-dimensional Freedman–Townsend model. The single- and two-loop $\beta$ functions have been calculated (on a computer). 
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     author = {S. V. Ketov and K. E. Osetrin and Ya. S. Prager},
     title = {Geometry of~dual two-dimensional nonlinear $\sigma$~models},
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S. V. Ketov; K. E. Osetrin; Ya. S. Prager. Geometry of dual two-dimensional nonlinear $\sigma$ models. Teoretičeskaâ i matematičeskaâ fizika, Tome 84 (1990) no. 2, pp. 173-180. http://geodesic.mathdoc.fr/item/TMF_1990_84_2_a1/

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