Hamiltonian structure and coset construction of the supersymmetric extensions of N=2 KdV hierarchy
Abstract
A manifestly N=2 supersymmetric coset formalism is applied to analyse the "fermionic" extensions of N=2
a=4
and
a=−2
KdV hierarchies. Both these hierarchies can be obtained from a manifest N=2 coset construction. This coset is defined as the quotient of some local but non-linear superalgebra by a
U(1)
^
subalgebra. Three superextensions of N=2 KdV hierarchy are proposed, among which one seems to be entirely new.