Integrable hierarchy for multidimensional Toda equations and topological–anti-topological fusion

✍ Scribed by H. Aratyn; J.F. Gomes; A.H. Zimerman

• Publisher: Elsevier Science
• Year: 2003
• Tongue: English
• Weight: 223 KB
• Volume: 46
• Category: Article
• ISSN: 0393-0440
• DOI: 10.1016/s0393-0440(02)00126-2

✦ Synopsis

The negative symmetry flows are incorporated into the Riemann-Hilbert problem for the homogeneous A m -hierarchy and its gl(m + 1, C) extension.

A loop group automorphism of order two is used to define a sub-hierarchy of gl(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.