English

Connected $(n,m)$-Point Functions of Diagonal $2$-BKP Tau-Functions, and Spin Double Hurwitz Numbers

Exactly Solvable and Integrable Systems 2023-04-26 v3 Mathematical Physics math.MP

Abstract

We derive an explicit formula for the connected (n,m)(n,m)-point functions associated to an arbitrary diagonal tau-function of the 22-BKP hierarchy using computation of neutral fermions and boson-fermion correspondence of type BB, and then apply this formula to the computation of connected spin double Hurwitz numbers. This is the type BB analogue of \cite{wy2}.

Keywords

Cite

@article{arxiv.2210.09576,
  title  = {Connected $(n,m)$-Point Functions of Diagonal $2$-BKP Tau-Functions, and Spin Double Hurwitz Numbers},
  author = {Zhiyuan Wang and Chenglang Yang},
  journal= {arXiv preprint arXiv:2210.09576},
  year   = {2023}
}