Volume 7, Issue 4, November 2000, Pages 433 - 444
Real Forms of the Complex Twisted N=2 Supersymmetric Toda Chain Hierarchy in Real N=1 and Twisted N=2 Superspaces
Authors
O. Lechtenfeld, A. Sorin
Corresponding Author
O. Lechtenfeld
Received 1 March 2000, Revised 29 March 2000, Accepted 22 May 2000, Available Online 1 November 2000.
- DOI
- 10.2991/jnmp.2000.7.4.4How to use a DOI?
- 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 demostrated 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 sperfields. 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.
- Copyright
- © 2006, the Authors. Published by Atlantis Press.
- Open Access
- This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - JOUR AU - O. Lechtenfeld AU - A. Sorin PY - 2000 DA - 2000/11/01 TI - Real Forms of the Complex Twisted N=2 Supersymmetric Toda Chain Hierarchy in Real N=1 and Twisted N=2 Superspaces JO - Journal of Nonlinear Mathematical Physics SP - 433 EP - 444 VL - 7 IS - 4 SN - 1776-0852 UR - https://doi.org/10.2991/jnmp.2000.7.4.4 DO - 10.2991/jnmp.2000.7.4.4 ID - Lechtenfeld2000 ER -