Toda tau functions with quantum torus symmetries

Kanehisa Takasaki

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arXiv · 1101.4083

Toda tau functions with quantum torus symmetries

Kanehisa Takasaki

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Abstract

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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Kanehisa Takasaki. 2011-01-21. Toda tau functions with quantum torus symmetries. https://arxiv.org/abs/1101.4083

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