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math-ph2026
A Comment on Local Hypercube Inequalities
Keyou Zhuo, Tian-Shun Chen, Kilar Zhang
This comment gives dimension-independent analytic proofs of the local inequalities arising in the odd- and even-dimensional constructions of higher-dimensional partition charge fun…
math-ph2025
Charge functions for all dimensional partitions
Hao Feng, Tian-Shun Chen, Kilar Zhang
The charge functions for n-dimensional partitions are known for n=2,3,4 in the literature. In a recent work, we gave the expression for arbitrary odd dimension; here we further con…
math-ph2025★ 1 cited
Charge functions for odd dimensional partitions
Shang Xiang, Hao Feng, Keyou Zhuo +2
To construct a BPS algebra with representations furnished by n-dimensional partitions, the first step is to find the eigenvalues of the Cartan operators acting on them. The generat…