Details
| Original language | English |
|---|---|
| Pages (from-to) | 489-510 |
| Number of pages | 22 |
| Journal | Nuclear Physics B |
| Volume | 566 |
| Issue number | 3 |
| Publication status | Published - 7 Feb 2000 |
Abstract
A wide class of N = 2 reductions of the supersymmetric KP hierarchy in N = 1 superspace is described. This class includes a new N= 2 supersymmetric generalization of the Toda chain hierarchy. The Lax pair representations of the bosonic and fermionic flows, local and non-local Hamiltonians, finite and infinite discrete symmetries, first two Hamiltonian structures and the recursion operator of this hierarchy are constructed. Its secondary reduction to new N = 2 supersymmetric modified KdV hierarchy is discussed.
Keywords
- Completely integrable systems, Discrete symmetries, Supersymmetry, Toda field theory
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Nuclear and High Energy Physics
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In: Nuclear Physics B, Vol. 566, No. 3, 07.02.2000, p. 489-510.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Supersymmetric KP hierarchy in N = 1 superspace and its N = 2 reductions
AU - Lechtenfeld, O.
AU - Sorin, A.
N1 - Funding Information: A.S. would like to thank F. Delduc for useful discussions and the Institut für Theoretische Physik, Universität Hannover for the financial support and hospitality during the course of this work. This work was partially supported by the Heisenberg–Landau programme HLP-99-13, PICS Project No. 593, RFBR-CNRS Grant No. 98-02-22034, RFBR Grant No. 99-02-18417, INTAS Grant INTAS-96-0538 and Nato Grant No. PST.CLG 974874. Copyright: Copyright 2017 Elsevier B.V., All rights reserved.
PY - 2000/2/7
Y1 - 2000/2/7
N2 - A wide class of N = 2 reductions of the supersymmetric KP hierarchy in N = 1 superspace is described. This class includes a new N= 2 supersymmetric generalization of the Toda chain hierarchy. The Lax pair representations of the bosonic and fermionic flows, local and non-local Hamiltonians, finite and infinite discrete symmetries, first two Hamiltonian structures and the recursion operator of this hierarchy are constructed. Its secondary reduction to new N = 2 supersymmetric modified KdV hierarchy is discussed.
AB - A wide class of N = 2 reductions of the supersymmetric KP hierarchy in N = 1 superspace is described. This class includes a new N= 2 supersymmetric generalization of the Toda chain hierarchy. The Lax pair representations of the bosonic and fermionic flows, local and non-local Hamiltonians, finite and infinite discrete symmetries, first two Hamiltonian structures and the recursion operator of this hierarchy are constructed. Its secondary reduction to new N = 2 supersymmetric modified KdV hierarchy is discussed.
KW - Completely integrable systems
KW - Discrete symmetries
KW - Supersymmetry
KW - Toda field theory
UR - http://www.scopus.com/inward/record.url?scp=0034614787&partnerID=8YFLogxK
U2 - 10.1016/S0550-3213(99)00653-7
DO - 10.1016/S0550-3213(99)00653-7
M3 - Article
AN - SCOPUS:0034614787
VL - 566
SP - 489
EP - 510
JO - Nuclear Physics B
JF - Nuclear Physics B
SN - 0550-3213
IS - 3
ER -