Toda tau functions with quantum torus symmetries

Details Toda tau functions with quantum torus symmetries Toda tau functions with quantum torus symmetries

2011-01-21

arxiv.org/abs/1101.4083v1

Acta Polytech. 51: 74-76,2011

Physics

Mathematical Physics

latex2e using packages amsmath,amssymb,amsthm, 6 pages, no figure, contribution to "19th International Colloquium on Integrabl

Scientific paper

The quantum torus algebra plays an important role in a special class of solutions of the Toda hierarchy. Typical examples are the solutions related to the melting crystal model of topological strings and 5D SUSY gauge theories. The quantum torus algebra is realized by a 2D complex free fermion system that underlies the Toda hierarchy, and exhibits mysterious "shift symmetries". This article is based on collaboration with Toshio Nakatsu.

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