HAMILTONIAN STRUCTURE AND COSET CONSTRUCTION OF THE SUPERSYMMETRIC EXTENSIONS OF N=2 KDV HIERARCHY

摘要

A manifestly N = 2 supersymmetric coset formalism is applied to analyze the ''fermionic'' extensions of N = 2, a = 4 and a = -2 KdV hierarchies. Both hierarchies can be obtained from a manifest N = 2 coset construction. This coset is defined as the quotient of some local but nonlinear superalgebra by a (U) over cap(1) subalgebra. Three superextensions of N = 2 KdV hierarchy are proposed, among which one seems to be entirely new. [References: 12]