Harmonic Superspace: Some New Trends

Abstract

We give a brief account of two recent applications of the harmonic superspace method: (i) an off-shell description of torsionful $(4,4)$ supersymmetric $2D$ sigma models in the framework of $SU(2)\times SU(2)$ harmonic superspace and (ii) the harmonic superspace formulation of ``small'' $N=4$ $SU(2)$ superconformal algebra and the related super KdV hierarchy.

11 pages, LaTeX, Talk given at the 1st Joint JINR-ROC (Taiwan) Workshop ``Intermediate and High Energy Physics'', June 26-28, 1995, Dubna, Russia (to be published in Chinese Journal of Physics)