# q-Difference Kac-Schwarz Operators in Topological String Theory

@article{Takasaki2016qDifferenceKO,
title={q-Difference Kac-Schwarz Operators in Topological String Theory},
author={Kanehisa Takasaki and Toshio Nakatsu},
journal={Symmetry Integrability and Geometry-methods and Applications},
year={2016},
volume={13},
pages={009}
}
• Published 4 September 2016
• Mathematics
• Symmetry Integrability and Geometry-methods and Applications
The perspective of Kac-Schwarz operators is introduced to the authors' previous work on the quantum mirror curves of topological string theory in strip geometry and closed topological vertex. Open string amplitudes on each leg of the web diagram of such geometry can be packed into a multi-variate generating function. This generating function turns out to be a tau function of the KP hierarchy. The tau function has a fermionic expression, from which one finds a vector $|W\rangle$ in the fermionic…
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