Partial differential equations from integrable vertex models

@inproceedings{Gallas2014PartialDE,
  title={Partial differential equations from integrable vertex models},
  author={Wellington Gall{\'e}as},
  year={2014}
}
In this work we propose a mechanism for converting the spectral problem for vertex models transfer matrices into the solution of certain linear partial differential equations. This mechanism is illustrated for the U q [sl ˆ (2)] invariant six-vertex model and the resulting partial differential equation is studied for particular values of the lattice length. 

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