PreprintarXiv licencearXiv
Constructing Concrete Colour Tensors for Simple Lie Algebras
Abstract
We describe the implementation and use of colour_tensors: a Mathematica package built for the concrete construction of explicit colour tensors involving arbitrarily charged particles in any gauge theory. These can be used to directly determine linear relations among colour tensors and compute a number of otherwise difficult, representation-theoretic quantities relevant to scattering amplitudes such as colour-interference between partial amplitudes.
Related
- Robust dimension-free estimation of simple random tensors: optimal guarantees under heavy tails and adversarial contamination
- Quantum groups of Lie colour algebras fulfilling the Cartan-Weyl paradigm
- A Semiclassical Limit of Large-Colour State Sums for Semisimple Lie Algebras
- Weak central polynomials for algebras of multiplications of simple algebras
- A characterization of generalized derivations and biderivations on some simple algebras
BibTeX
@misc{bourjaily2026constructing,
title = {{Constructing Concrete Colour Tensors for Simple Lie Algebras}},
author = {Jacob L. Bourjaily and Michael Plesser and Philip Velie},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.13365},
eprint = {2609.13365},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.13365},
}
RIS
TY - UNPB
TI - Constructing Concrete Colour Tensors for Simple Lie Algebras
AU - Jacob L. Bourjaily
AU - Michael Plesser
AU - Philip Velie
PY - 2026
DA - 2026/09/11
PB - arXiv
DO - 10.48550/arxiv.2609.13365
UR - https://arxiv.org/abs/2609.13365
AB - We describe the implementation and use of colour_tensors: a Mathematica package built for the concrete construction of explicit colour tensors involving arbitrarily charged particles in any gauge theory. These can be used to directly determine linear relations among colour tensors and compute a number of otherwise difficult, representation-theoretic quantities relevant to scattering amplitudes such as colour-interference between partial amplitudes.
ER -