587 research outputs found
N=2 local and N=4 nonlocal reductions of supersymmetric KP hierarchy in N=2 superspace
A N=4 supersymmetric matrix KP hierarchy is proposed and a wide class of its
reductions which are characterized by a finite number of fields are described.
This class includes the one-dimensional reduction of the two-dimensional
N=(2|2) superconformal Toda lattice hierarchy possessing the N=4 supersymmetry
-- the N=4 Toda chain hierarchy -- which may be relevant in the construction of
supersymmetric matrix models. The Lax pair representations of the bosonic and
fermionic flows, corresponding local and nonlocal Hamiltonians, finite and
infinite discrete symmetries, the first two Hamiltonian structures and the
recursion operator connecting all evolution equations and the Hamiltonian
structures of the N=4 Toda chain hierarchy are constructed in explicit form.
Its secondary reduction to the N=2 supersymmetric alpha=-2 KdV hierarchy is
discussed.Comment: 26 pages, LaTeX, a few misprints correcte
A note on chiral fermions and heterotic strings
An off-shell manifestly (8,0) worldsheet supersymmetric formulation of a
multiplet describing physical chiral fermions is given. The multiplet can be
used to complete the doubly supersymmetric (twistor-like) action for the
heterotic string. Correction of technical errors.Comment: 10 page
Non-standard matrix formats of Lie superalgebras
The standard format of matrices belonging to Lie superalgebras consists of
partitioning the matrices into even and odd blocks. In this paper, we study
other possible matrix formats and in particular the so-called diagonal format
which naturally occurs in various applications, e.g. in superconformal field
theory, superintegrable models, for super W-algebras and quantum supergroups
Supersymmetric Drinfeld-Sokolov reduction
The Drinfeld-Sokolov construction of integrable hierarchies, as well as its
generalizations, may be extended to the case of loop superalgebras. A
sufficient condition on the algebraic data for the resulting hierarchy to be
invariant under supersymmetry transformation is given. The method used is a
construction of the hierarchies in superspace, where supersymmetry is manifest.
Several examples are discussed.Comment: 25 pages, LaTeX fil
chiral WZNW model in superspace
We study the Poisson bracket algebra of the supersymmetric chiral WZNW
model in superspace. It involves two classical r-matrices, one of which comes
from the geometrical constraints implied by supersymmetry. The phase
space itself consists of superfields satisfying constraints involving this
r-matrix. An attempt is made to relax these constraints. The symmetries of the
model are investigated.Comment: 21 page
N=2 KP and KdV hierarchies in extended superspace
We give the formulation in extended superspace of an supersymmetric KP
hierarchy using chirality preserving pseudo-differential operators. We obtain
two quadratic hamiltonian structures, which lead to different reductions of the
KP hierarchy. In particular we find two different hierarchies with the
classical super- algebra as a hamiltonian structure. The relation
with the formulation in superspace is carried out.Comment: 18 pages, LaTeX file, important reference adde
Gauged W Algebras
We perform an Hamiltonian reduction on a classical \cw(\cg, \ch) algebra, and
prove that we get another \cw(\cg, \ch) algebra, with . In
the case \cg=S\ell(n), the existence of a suitable gauge, called Generalized
Horizontal Gauge, allows to relate in this way two \cw-algebras as soon as
their corresponding \ch-algebras are related by inclusion.Comment: 11 p., Latex. There was a misprint on the last autho
Recursion 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.Comment: 9 page
Real forms of the complex twisted N=2 supersymmetric Toda chain hierarchy in real N=1 and twisted N=2 superspaces
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
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