The N = 2 Supersymmetric Unconstrained Matrix GNLS Hierarchies |
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Authors: | Sorin A S Kersten P H M |
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Institution: | (1) Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research (JINR), 141980 Dubna, Moscow Region, Russia;(2) Faculty of Mathematical Sciences, University of Twente, P.O. Box 217,7500 AE, Enschede, The Netherlands |
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Abstract: | The generalization of the N = 2 supersymmetric chiral matrix (k | n,m)-GNLS hierarchy (Lett. Math. Phys.
45 (1998) 63, solv-int/9711009) to the case when matrix entries are bosonic and fermionic unconstrained N = 2 superfields is proposed. This is done by exhibiting the corresponding matrix Lax-pair representation in terms of N = 2 unconstrained superfields. It is demonstrated that when matrix entries are chiral and antichiral N = 2 superfields, it reproduces the N = 2 chiral matrix (k | n,m)-GNLS hierarchy, while in the scalar case, k = 1, it is equivalent to the N = 2 supersymmetric multicomponent hierarchy (J. Phys. A
29 (1996) 1281, hep-th/9510185). The simplest example—the N = 2 unconstrained (1 | 1,0)-GNLS hierarchy—and its reduction to the N = 2 supersymmetric = 1 KdV hierarchy are discussed in more detail, and its rich symmetry structure is uncovered. |
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Keywords: | completely integrable systems discrete symmetries supersymmetry |
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