Chern-Simons potentials of higher-dimensional Pontryagin densities
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, vol.58, no.47, 2025 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 58 Issue: 47
- Publication Date: 2025
- Doi Number: 10.1088/1751-8121/ae1dbc
- Journal Name: JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, INSPEC, MathSciNet, zbMATH
- Middle East Technical University Affiliated: Yes
Abstract
We develop a novel and systematic approach to computing the (2n-1)-form Chern-Simons (CS) potential given the Pontryagin density (PD), i.e. the nth Chern character, in arbitrary even dimensions D=2n >= 2. Throughout we work with a generic affine connection, that results in a non-vanishing torsion in general, and allows for non-metricity, which accommodates the existence of non-trivial Chern characters and hence PDs. We outline an algorithm, with its implementation as a code, which lets one to determine the CS potential given the PD in an arbitrary even dimension.