Cut-and-join description of generalized Brezin-Gross-Witten model

@article{Alexandrov2016CutandjoinDO,
  title={Cut-and-join description of generalized Brezin-Gross-Witten model},
  author={A. Alexandrov},
  journal={arXiv: Mathematical Physics},
  year={2016}
}
  • A. Alexandrov
  • Published 2016
  • Physics, Mathematics
  • arXiv: Mathematical Physics
We investigate the Brezin-Gross-Witten model, a tau-function of the KdV hierarchy, and its natural one-parameter deformation, the generalized Brezin-Gross-Witten tau-function. In particular, we derive the Virasoro constraints, which completely specify the partition function. We solve them in terms of the cut-and-join operator. The Virasoro constraints lead to the loop equations, which we solve in terms of the correlation functions. Explicit expressions for the coefficients of the tau-function… Expand
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