Towards higher-N superextensions of Born-Infeld theory

Abstract

We give a brief account of supersymmetric Born-Infeld theories with extended supersymmetry, including those with partially broken supersymmetry. Some latest developments in this area are presented. One of them is N=3 supersymmetric Born-Infeld theory which admits a natural off-shell formulation in N=3 harmonic superspace.

11 pages, LaTeX, Based on talks given at 9-th International Conference on Supersymmetry and Unification of Fundamental Interactions (SUSY'01), Dubna, Russia, June 11-17, 2001, IX-th International Conference on Symmetry Methods in Physics (SYMPHYS 9), Erevan, Armenia, July 3-8, 2001 and XVI-th Max Born Symposium SQS'01, Karpacz, Poland, September 21-25, 2001