A modified melting crystal model and the Ablowitz–Ladik hierarchy

@article{Takasaki2013AMM,
  title={A modified melting crystal model and the Ablowitz–Ladik hierarchy},
  author={Kanehisa Takasaki},
  journal={Journal of Physics A: Mathematical and Theoretical},
  year={2013},
  volume={46}
}
  • K. Takasaki
  • Published 25 February 2013
  • Mathematics
  • Journal of Physics A: Mathematical and Theoretical
This paper addresses the issue of integrable structure in a modified melting crystal model of topological string theory on the resolved conifold. The partition function can be expressed as the vacuum expectation value of an operator on the Fock space of 2D complex free fermion fields. The quantum torus algebra of fermion bilinears behind this expression is shown to have an extended set of ‘shift symmetries’. They are used to prove that the partition function (deformed by external potentials) is… 
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17 Citations
Background Citations
7
Methods Citations
8
Results Citations
4

17 Citations

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4D limit of melting crystal model and its integrable structure

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  • 2019

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In [1], Nakatsu and Takasaki have shown that the melting crystal model behind the topological strings vertex provides a tau-function of the KP hierarchy after an appropriate time deformation. We…

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