Geometry of dual two-dimensional nonlinear $\sigma$ models

S. V. Ketov, K. E. Osetrin, Ya. S. Prager


Abstract: 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).

Received: 04.09.1989

 English version: Theoretical and Mathematical Physics, 1990, 84:2, 794–799

Bibliographic databases:

• 
•