Toda Tau Functions with Quantum Torus Symmetries

Authors

  • K. Takasaki

DOI:

https://doi.org/10.14311/1370

Keywords:

Toda hierarchy, melting crystal model, quantum torus algebra

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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Author Biography

  • K. Takasaki

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Published

2011-01-02

Issue

Vol. 51 No. 2 (2011)

Section

Articles

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How to Cite

Takasaki, K. (2011). Toda Tau Functions with Quantum Torus Symmetries. Acta Polytechnica, 51(2). https://doi.org/10.14311/1370