Hamiltonian structure and coset construction of the supersymmetric extensions of N=2 KdV hierarchy

Details Hamiltonian structure and coset construction of the supersymmetric extensions of N=2 KdV hierarchy Hamiltonian structure and coset construction of the supersymmetric extensions of N=2 KdV hierarchy

1997-04-29

arxiv.org/abs/solv-int/9705001v3

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, Latex, a few modifications in the text

Scientific paper

10.1142/S0217732397003162

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

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