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math-ph2023
On two families of Nekrasov-Okounkov type formulas
Chenglang Yang
In this paper, we use the vacuum expectation value formula of the topological vertex and its rotation symmetry to derive two families of Nekrasov-Okounkov type formulas. Each famil…
math-ph2023
A remark on certain restricted plane partitions and crystal melting model
Chenglang Yang
In this paper, we provide formulas to calculate the partition functions of two types of plane partitions using the crystal melting model introduced by Okounkov, Reshetikhin and Vaf…
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…