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20182023
most citedA Unified Approach to Holomorphic Anomaly Equations and Quantum Spectral Curves

8 citations · 32 across the 10 of their papers we have counts for

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math-ph2023★ 2 cited

BKP-Affine Coordinates and Emergent Geometry of Generalized Brézin-Gross-Witten Tau-Functions

Zhiyuan Wang, Chenglang Yang, Qingsheng Zhang

Following Zhou's framework, we consider the emergent geometry of the generalized Brézin-Gross-Witten models whose partition functions are known to be a family of tau-functions of t…

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…

math-ph2021★ 2 cited

A formalism of abstract quantum field theory of summation of fat graphs

Zhiyuan Wang, Jian Zhou

In this work we present a formalism of abstract quantum field theory for fat graphs and its realizations. This is a generalization of an earlier work for stable graphs. We define t…

math-ph2021

On affine coordinates of the tau-function for open intersection numbers

Zhiyuan Wang

In Alexandrov's work \cite{al2, al3} it has been shown that the extended partition function introduced by Buryak in \cite{bu, bu2} is a tau-function of the KP…

math-ph2019★ 1 cited

Fourier-Like Transforms of Stable Graphs and Holomorphic Anomaly Equations

Zhiyuan Wang, Jian Zhou

In this paper we develop a theory of Fourier-like transforms on the space of stable graphs. In particular, we introduce a duality theory of stable graphs. As an application, we der…

math-ph2018★ 8 cited

A Unified Approach to Holomorphic Anomaly Equations and Quantum Spectral Curves

Zhiyuan Wang, Jian Zhou

We present a unified approach to holomorphic anomaly equations and some well-known quantum spectral curves. We develop a formalism of abstract quantum field theory based on the dia…