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math-ph2024
Correlation Function of Self-Conjugate Partitions: -Difference Equation and Quasimodularity
Zhiyong Wang, Chenglang Yang
In this paper, we study the uniform measure for the self-conjugate partitions. We derive the -difference equation which is satisfied by the -point correlation function relate…
math-ph2024
On a Proof of the ADKMV Conjecture -- -KP Integrability of the Topological Vertex
Zhiyuan Wang, Chenglang Yang, Jian Zhou
We present a mathematical proof of the Aganagic-Dijkgraaf-Klemm-Mariño-Vafa Conjecture proposed in 2006, which states that the generating function of the topological vertex, i.e.,…