W-EXTENSIONS OF THE FRAPPAT et al. SYMMETRIES AND FIELD THEORETICAL REALIZATIONS ON THE TORUS
Abstract
A new extension of the standard Virasoro algebra as well as its W-generalizations containing the Antoniadis et al. and Frappat et al. symmetries (Refs. 8 and 9 as special cases), are obtained. The fundamentals of the quantum field theory representation of the Frappat et al. symmetry are given. Other remarkable properties are also discussed.