SciPost Physics· 2026Q1
Charge functions for all dimensional partitions
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- Q1SCImago
- 2026year
Short summary
A new conjecture proposes a formula for charge functions in all even-dimensional partitions, rigorously proven for 6D and numerically verified for 8D.
AI-generated from the title and abstract; the full text is not read.
Key points
- A conjecture is proposed for charge functions in all even-dimensional partitions.
- The conjecture is rigorously proven for 6D partitions.
- The conjecture is numerically verified for 8D partitions.
- This work builds upon prior results for 2D, 3D, 4D, and arbitrary odd dimensions.
AI-generated from the title and abstract; the full text is not read.
Abstract
The charge functions for n n -dimensional partitions are known for n=2,3,4 n = 2 , 3 , 4 in the literature. In a recent work, we gave the expression for arbitrary odd dimension; here we further conjecture a formula for all even-dimensional cases. This conjecture is proved rigorously for 6D, and numerically verified for 8D.
The authors' abstract, as published at the source. SciPost Physics, 2026 · DOI ↗
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Field: Algebra and Number Theory
Algebra and Number TheoryMathematics