Details
| Original language | English |
|---|---|
| Pages (from-to) | 433-444 |
| Number of pages | 12 |
| Journal | Journal of Nonlinear Mathematical Physics |
| Volume | 7 |
| Issue number | 4 |
| Publication status | Published - 2000 |
Abstract
Three nonequivalent real forms of the complex twisted N=2 supersymmetric Toda chain hierarchy (solv-int/9907021) in real N=1 superspace are presented. It is demonstrated that they possess a global twisted N=2 supersymmetry. We discuss a new superfield basis in which the supersymmetry transformations are local. Furthermore, a representation of this hierarchy is given in terms of two twisted chiral N=2 superfields. The relations to the s-Toda hierarchy by H. Aratyn, E. Nissimov and S. Pacheva (solv-int/9801021) as well as to the modified and derivative NLS hierarchies are established.
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Statistical and Nonlinear Physics
- Mathematics(all)
- Mathematical Physics
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In: Journal of Nonlinear Mathematical Physics, Vol. 7, No. 4, 2000, p. 433-444.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Real forms of the complex twisted N=2 supersymmetric toda chain hierarchy in real N=1 and twisted N=2 superspaces
AU - Lechtenfeld, O.
AU - Sorin, A.
N1 - Funding Information: A.S. would like to thank the Institut für Theoretische Physik, Universität Hannover for the hospitality during the course of this work. This work was partially supported by the DFG Grant No. 436 RUS 113/359/0 (R), RFBR-DFG Grant No. 99-02-04022, the Heisenberg-Landau programme HLP-99-13, PICS Project No. 593, RFBR-CNRS Grant No. 98-02-22034, RFBR Grant No. 99-02-18417, Nato Grant No. PST.CLG 974874 and INTAS Grant INTAS-96-0538. Copyright: Copyright 2017 Elsevier B.V., All rights reserved.
PY - 2000
Y1 - 2000
N2 - Three nonequivalent real forms of the complex twisted N=2 supersymmetric Toda chain hierarchy (solv-int/9907021) in real N=1 superspace are presented. It is demonstrated that they possess a global twisted N=2 supersymmetry. We discuss a new superfield basis in which the supersymmetry transformations are local. Furthermore, a representation of this hierarchy is given in terms of two twisted chiral N=2 superfields. The relations to the s-Toda hierarchy by H. Aratyn, E. Nissimov and S. Pacheva (solv-int/9801021) as well as to the modified and derivative NLS hierarchies are established.
AB - Three nonequivalent real forms of the complex twisted N=2 supersymmetric Toda chain hierarchy (solv-int/9907021) in real N=1 superspace are presented. It is demonstrated that they possess a global twisted N=2 supersymmetry. We discuss a new superfield basis in which the supersymmetry transformations are local. Furthermore, a representation of this hierarchy is given in terms of two twisted chiral N=2 superfields. The relations to the s-Toda hierarchy by H. Aratyn, E. Nissimov and S. Pacheva (solv-int/9801021) as well as to the modified and derivative NLS hierarchies are established.
UR - http://www.scopus.com/inward/record.url?scp=0034550313&partnerID=8YFLogxK
U2 - 10.2991/jnmp.2000.7.4.3
DO - 10.2991/jnmp.2000.7.4.3
M3 - Article
AN - SCOPUS:0034550313
VL - 7
SP - 433
EP - 444
JO - Journal of Nonlinear Mathematical Physics
JF - Journal of Nonlinear Mathematical Physics
SN - 1402-9251
IS - 4
ER -