Details
| Original language | English |
|---|---|
| Pages (from-to) | 109-122 |
| Number of pages | 14 |
| Journal | Letters in mathematical physics |
| Volume | 84 |
| Issue number | 2-3 |
| Publication status | Published - Jun 2008 |
Abstract
We develop a pseudo-differential approach to the N = 2 supersymmetric unconstrained matrix (k|n, m)-generalized nonlinear Schrödinger hierarchies and prove consistency of the corresponding Lax-pair representation (nlin.SI/0201026). Furthermore, we establish their equivalence to the integrable hierarchies derived in the super-algebraic approach of the homogeneously-graded loop superalgebra sl(2k+n|2k+m) ⊗ C[λ,λ-1] (nlin.SI/0206037). We introduce an unconventional definition of N = 2 supersymmetric strictly pseudo-differential operators so as to close their algebra among themselves.
Keywords
- Completely integrable systems, Discrete symmetries, Supersymmetry
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Statistical and Nonlinear Physics
- Mathematics(all)
- Mathematical Physics
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In: Letters in mathematical physics, Vol. 84, No. 2-3, 06.2008, p. 109-122.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - N = 2 Supersymmetric unconstrained matrix GNLS hierarchies are consistent
AU - Delduc, Francois
AU - Lechtenfeld, Olaf
AU - Sorin, Alexander S.
N1 - Funding Information: A.S. would like to thank the Laboratoire de Physique de l’ENS Lyon and Insti-tut für Theoretische Physik, Universität Hannover, for the hospitality during the course of this work. This work was partially supported by the RFBR Grant No. 06-01-00627-a, RFBR-DFG Grant No. 06-02-04012-a, DFG Grant 436 RUS 113/669-3, the Program for Supporting Leading Scientific Schools (Grant No. NSh-5332.2006.2), and by the Heisenberg-Landau Program. Finally, we are grateful to the anonymous referee for his critical questions and a very careful reading of the manuscript. Copyright: Copyright 2008 Elsevier B.V., All rights reserved.
PY - 2008/6
Y1 - 2008/6
N2 - We develop a pseudo-differential approach to the N = 2 supersymmetric unconstrained matrix (k|n, m)-generalized nonlinear Schrödinger hierarchies and prove consistency of the corresponding Lax-pair representation (nlin.SI/0201026). Furthermore, we establish their equivalence to the integrable hierarchies derived in the super-algebraic approach of the homogeneously-graded loop superalgebra sl(2k+n|2k+m) ⊗ C[λ,λ-1] (nlin.SI/0206037). We introduce an unconventional definition of N = 2 supersymmetric strictly pseudo-differential operators so as to close their algebra among themselves.
AB - We develop a pseudo-differential approach to the N = 2 supersymmetric unconstrained matrix (k|n, m)-generalized nonlinear Schrödinger hierarchies and prove consistency of the corresponding Lax-pair representation (nlin.SI/0201026). Furthermore, we establish their equivalence to the integrable hierarchies derived in the super-algebraic approach of the homogeneously-graded loop superalgebra sl(2k+n|2k+m) ⊗ C[λ,λ-1] (nlin.SI/0206037). We introduce an unconventional definition of N = 2 supersymmetric strictly pseudo-differential operators so as to close their algebra among themselves.
KW - Completely integrable systems
KW - Discrete symmetries
KW - Supersymmetry
UR - http://www.scopus.com/inward/record.url?scp=46649101599&partnerID=8YFLogxK
U2 - 10.1007/s11005-008-0237-8
DO - 10.1007/s11005-008-0237-8
M3 - Article
AN - SCOPUS:46649101599
VL - 84
SP - 109
EP - 122
JO - Letters in mathematical physics
JF - Letters in mathematical physics
SN - 0377-9017
IS - 2-3
ER -