N = 2 Supersymmetric Unconstrained Matrix GNLS Hierarchies are Consistent
نویسندگان
چکیده
منابع مشابه
The N = 2 supersymmetric unconstrained matrix GNLS hierarchies
The generalization of the N = 2 supersymmetric chiral matrix (k|n, m)–GNLS hierarchy 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,...
متن کاملRecursion operators of the N = 2 supersymmetric unconstrained matrix GNLS hierarchies
A super–algebraic formulation of the N = 2 supersymmetric unconstrained matrix (k|n, m)– MGNLS hierarchies (nlin.SI/0201026) is established. Recursion operators, fermionic and bosonic symmetries as well as their superalgebra are constructed for these hierarchies. 1) E-Mail: [email protected] 2) E-Mail: [email protected] †) UMR 5672 du CNRS, associéè a l'Ecole Normale Supérieure de ...
متن کاملCoset approach to the N=2 supersymmetric matrix GNLS hierarchies
We discuss a large class of coset constructions of the N=2 sl(n|n− 1) affine superalgebra. We select admissible subalgebras, i.e. subalgebras that induce linear chiral/antichiral constraints on the coset supercurrents. We show that all the corresponding coset constructions lead to N=2 matrix GNLS hierarchies. We develop an algorithm to compute the relative Hamiltonians and flows. We spell out c...
متن کاملThe discrete symmetries of the N = 2 supersymmetric GNLS hierarchies
The discrete symmetry transformations of the N = 2 supersymmetric (n,m)-GNLS hierarchy are constructed. Their bosonic limit is analyzed and new discrete symmetries of the modified GNLS hierarchy are derived. The explicit relations connecting the integrable hierarchy, produced by the junction of the Lax operators for the N = 2 supersymmetric a = 4 KdV and (n − 1, m)-GNLS hierarchies, to the N = ...
متن کاملThe Hamiltonian structure of the N = 2 supersymmetric GNLS hierarchy
The first two Hamiltonian structures and the recursion operator connecting all evolution systems and Hamiltonian structures of the N = 2 supersymmetric (n, m)-GNLS hierarchy are constructed in terms of N = 2 superfields in two different superfield bases with local evolution equations. Their bosonic limits are studied in detail. New local and nonlocal bosonic and fermionic integrals both for the...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Letters in Mathematical Physics
سال: 2008
ISSN: 0377-9017,1573-0530
DOI: 10.1007/s11005-008-0237-8