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most citedBKP Hierarchy, Affine Coordinates, and a Formula for Connected Bosonic -Point Functions

8 citations · 28 across the 17 of their papers we have counts for

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5 papers · 1 filter

math-ph2022★ 3 cited

Kac-Schwarz Operators of Type , Quantum Spectral Curves, and Spin Hurwitz Numbers

Ce Ji, Zhiyuan Wang, Chenglang Yang

Given a tau-function of the BKP hierarchy satisfying , we discuss the relation between its BKP-affine coordinates on the isotropic Sato Grassmannian and its BKP-wave…

nlin.SI2022★ 2 cited

Connected -Point Functions of Diagonal -BKP Tau-Functions, and Spin Double Hurwitz Numbers

Zhiyuan Wang, Chenglang Yang

We derive an explicit formula for the connected -point functions associated to an arbitrary diagonal tau-function of the -BKP hierarchy using computation of neutral fermi…

nlin.SI2022★ 2 cited

Diagonal Tau-Functions of 2D Toda Lattice Hierarchy, Connected -Point Functions, and Double Hurwitz Numbers

Zhiyuan Wang, Chenglang Yang

We derive an explicit formula for the connected -point functions associated to an arbitrary diagonal tau-function of the 2d Toda lat…

math-ph2022★ 2 cited

Action of -type operators on Schur functions and Schur Q-functions

Xiaobo Liu, Chenglang Yang

In this paper, we investigate a series of W-type differential operators, which appear naturally in the symmetry algebras of KP and BKP hierarchies. In particular, they include all…

nlin.SI2022★ 8 cited

BKP Hierarchy, Affine Coordinates, and a Formula for Connected Bosonic -Point Functions

Zhiyuan Wang, Chenglang Yang

We derive a formula for the connected -point functions of a tau-function of the BKP hierarchy in terms of its affine coordinates. This is a BKP-analogue of a formula for KP tau-…