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On two families of Nekrasov-Okounkov type formulas

Published 13 Dec 2023 in math-ph, hep-th, math.CO, and math.MP | (2312.08218v1)

Abstract: 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 family of formulas depends on $2N+1$ parameters for a positive integer $N$.

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