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On the CP1 topological sigma model and the Toda lattice hierarchy

✍ Scribed by Youjin Zhang

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
118 KB
Volume
40
Category
Article
ISSN
0393-0440

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✦ Synopsis

We propose, in bihamiltonian formalism, a version of the Toda lattice hierarchy that is satisfied by the two point correlation functions of the CP 1 topological sigma model at genus one approximation, and we also show that this bihamiltonian hierarchy is compatible with the Virasoro constraints of Eguchi-Hori-Xiong up to genus two approximation.

πŸ“œ SIMILAR VOLUMES

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## Abstract We investigate soliton solutions of the Toda hierarchy on a quasi‐periodic finite‐gap background by means of the double commutation method and the inverse scattering transform. In particular, we compute the phase shift caused by a soliton on a quasi‐periodic finite‐gap background. Furth