Work

Notes on selection rules of canonical differential equations and relative cohomology

Year: 2025

Type: article

Abstract: A bstract We give an explanation of the d log-form of the coefficient matrix of canonical differential equations using the projection of ( n +1)-d log forms onto n -d log forms. This projection is done using the leading-order formula for intersection numbers. This formula gives a simple way to compute the coefficient matrix. When combined with the relative twisted cohomology, redundancy in computation using the regulator method can be avoided.

Source: Journal of High Energy Physics

DOI: 10.1007/jhep03(2025)009

Authors: Jiaqi Chen, Bo Feng

Institutions: China University of Petroleum, Beijing, Beijing Computational Science Research Center, Peng Huanwu Center for Fundamental Theory

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funders: China Postdoctoral Science Foundation, National Safety Academic Fund

Awards: G3621036087, G6598470205