Skip to main content
SpringerLink
Log in

N = 2 KP and KdV Hierarchies in Extended Superspace

  • Published:
Communications in Mathematical Physics Aims and scope Submit manuscript

Abstract:

We give the formulation in extended superspace of an N = 2 supersymmetric KP hierarchy using chirality preserving pseudo-differential operators. We obtain two quadratic hamiltonian structures, which lead to different reductions of the KP hierarchy. In particular we find two different hierarchies with the N = 2 classical super- algebra as a hamiltonian structure. The relation with the formulation in N=1 superspace and the bosonic limit are carried out.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Author information

Authors and Affiliations

  1. Laboratoire de Physique Théorique ENSLAPP, URA 14-36 du CNRS, associée à l'ENS de Lyon et au LAPP, Groupe de Lyon: ENS Lyon, 46 Allée d'Italie, 69364 Lyon, France, , , , , , FR

    F. Delduc & L. Gallot

Authors
  1. F. Delduc
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. L. Gallot
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Received: 6 March 1997 / Accepted: 18 April 1997

Rights and permissions

Reprints and permissions

About this article

Cite this article

Delduc, F., Gallot, L. N = 2 KP and KdV Hierarchies in Extended Superspace . Comm Math Phys 190, 395–410 (1997). https://doi.org/10.1007/s002200050246

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/s002200050246

Keywords

Search

Navigation