Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1999-05-14
Commun.Math.Phys. 217 (2001) 249-284
Physics
High Energy Physics
High Energy Physics - Theory
36 pages, LaTeX file
Scientific paper
10.1007/s002200000269
An infinite series of Grassmann-odd and Grassmann-even flow equations is defined for a class of supersymmetric integrable hierarchies associated with loop superalgebras. All these flows commute with the mutually commuting bosonic ones originally considered to define these hierarchies and, hence, provide extra fermionic and bosonic symmetries that include the built-in N=1 supersymmetry transformation. The corresponding non-local conserved quantities are also constructed. As an example, the particular case of the principal supersymmetric hierarchies associated with the affine superalgebras with a fermionic simple root system is discussed in detail.
Madsen Jens Ole
Miramontes Luis J.
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