Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2001-07-06
J.Geom.Phys. 46 (2003) 21-47; Erratum-ibid. 46 (2003) 201
Physics
High Energy Physics
High Energy Physics - Theory
24+1 pages, some minus signs corrected
Scientific paper
The negative symmetry flows are incorporated into the Riemann-Hilbert problem for the homogeneous $A_m$-hierarchy and its $\hat{gl} (m+1, C)$ extension. A loop group automorphism of order two is used to define a sub-hierarchy of $\hat{gl} (m+1, C)$ hierarchy containing only the odd symmetry flows. The positive and negative flows of the $\pm 1$ grade coincide with equations of the multidimensional Toda model and of topological-anti-topological fusion.
Aratyn Henrik
Gomes J. F.
Zimerman A. H.
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