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arXiv · hep-th/0107056

Integrable Hierarchy for Multidimensional Toda Equations and Topological-Anti-topological Fusion

H. Aratyn·J. F. Gomes·A. H. Zimerman
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Abstract

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.

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H. Aratyn, J. F. Gomes, A. H. Zimerman. 2001-09-26. Integrable Hierarchy for Multidimensional Toda Equations and Topological-Anti-topological Fusion. https://doi.org/10.1016/s0393-0440(02)00126-2

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