The Hamiltonian Structures of the super KP hierarchy Associated with an Even Parity SuperLax Operator

Details The Hamiltonian Structures of the super KP hierarchy Associated with an Even Parity SuperLax Operator The Hamiltonian Structures of the super KP hierarchy Associated with an Even Parity SuperLax Operator

1993-07-19

arxiv.org/abs/hep-th/9307119v1

J.Math.Phys. 36 (1995) 258-267

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, Plain tex, IC/93/179

Scientific paper

10.1063/1.531349

We consider the even parity superLax operator for the supersymmetric KP hierarchy of the form $L~=~D^2 + \sum_{i=0}^\infty u_{i-2} D^{-i+1}$ and obtain the two Hamiltonian structures following the standard method of Gelfand and Dikii. We observe that the first Hamiltonian structure is local and linear whereas the second Hamiltonian structure is non-local and nonlinear among the superfields appearing in the Lax operator. We discuss briefly on their connections with the super $w_{\infty}$ algebra.

Affiliated with

Also associated with

No associations

Rating

The Hamiltonian Structures of the super KP hierarchy Associated with an Even Parity SuperLax Operator does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The Hamiltonian Structures of the super KP hierarchy Associated with an Even Parity SuperLax Operator, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Hamiltonian Structures of the super KP hierarchy Associated with an Even Parity SuperLax Operator will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-31827