Integrable hierarchy for multidimensional Toda equations and topologicalantitopological fusion
Abstract
The negative symmetry flows are incorporated into the RiemannHilbert problem for the homogeneous A_{m}hierarchy and its gl̂(m+1, C) extension. A loop group automorphism of order two is used to define a subhierarchy of gl̂(m+1, C) hierarchy containing only the odd symmetry flows. The positive and negative flows of the ±1 grade coincide with equations of the multidimensional Toda model and of topologicalantitopological fusion.
 Publication:

Journal of Geometry and Physics
 Pub Date:
 April 2003
 DOI:
 10.1016/S03930440(02)001262
 arXiv:
 arXiv:hepth/0107056
 Bibcode:
 2003JGP....46...21A
 Keywords:

 High Energy Physics  Theory;
 Mathematical Physics;
 Nonlinear Sciences  Exactly Solvable and Integrable Systems
 EPrint:
 24+1 pages, some minus signs corrected