Integrable hierarchy for multidimensional Toda equations and topological-anti-topological fusion
Journal of Geometry and Physics. Amsterdam: Elsevier B.V., v. 46, n. 1, p. 21-47, 2003.
Gomes, J. F.
Zimerman, A. H.
The negative symmetry flows are incorporated into the Riemann-Hilbert problem for the homogeneous A(m)-hierarchy and its (gl) over cap (m + 1, C) extension.A loop group automorphism of order two is used to define a sub-hierarchy of (gl) over cap (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 topological-anti-topological fusion. (C) 2002 Elsevier B.V. B.V. All rights reserved.