Toda tau functions with quantum torus symmetries
Mathematical Physics
2011-03-14 v1 High Energy Physics - Theory
math.MP
Quantum Algebra
Exactly Solvable and Integrable Systems
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.
Cite
@article{arxiv.1101.4083,
title = {Toda tau functions with quantum torus symmetries},
author = {Kanehisa Takasaki},
journal= {arXiv preprint arXiv:1101.4083},
year = {2011}
}
Comments
latex2e using packages amsmath,amssymb,amsthm, 6 pages, no figure, contribution to "19th International Colloquium on Integrable Systems and Quantum Symmetries"