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Connected (n, m)-point functions of diagonal 2-BKP tau-functions and spin double Hurwitz numbers

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We derive an explicit formula for connected ( n, m)-point functions associated with an arbitrary diagonal tau-function of the 2-BKP hierarchy using the computation of neutral fermions and boson–fermion correspondence… Click to show full abstract

We derive an explicit formula for connected ( n, m)-point functions associated with an arbitrary diagonal tau-function of the 2-BKP hierarchy using the computation of neutral fermions and boson–fermion correspondence of type B and then apply this formula to the computation of connected spin double Hurwitz numbers. This is the type B analog of Wang and Yang [arXiv:2210.08712 (2022)].

Keywords: connected point; spin double; point functions; hurwitz numbers; double hurwitz

Journal Title: Journal of Mathematical Physics
Year Published: 2022

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