Solving q-Virasoro constraints

@article{Lodin2019SolvingQC,
  title={Solving q-Virasoro constraints},
  author={Rebecca Lodin and Aleksandr Popolitov and Shamil Shakirov and Maxim Zabzine},
  journal={Letters in Mathematical Physics},
  year={2019},
  volume={110},
  pages={179-210}
}
AbstractWe show how q-Virasoro constraints can be derived for a large class of (q, t)-deformed eigenvalue matrix models by an elementary trick of inserting certain q-difference operators under the integral, in complete analogy with full-derivative insertions for $$\beta $$β-ensembles. From free field point of view, the models considered have zero momentum of the highest weight, which leads to an extra constraint $$T_{-1} \mathcal {Z} = 0$$T-1Z=0. We then show how to solve these q-Virasoro… 
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