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 $\widehat{U(1)}$ subalgebra. Three superextensions of N=2 KdV hierarchy are proposed, among which one seems to be entirely new.

11 pages, Latex, a few modifications in the text

References in corpus (3)

• New Integrable Extensions of N=2 KdV and Boussinesq Hierarchies
• New super KdV system with the N=4 SCA as the hamiltonian structure
• N=4 Super NLS-mKdV Hierarchies