A groupoidification of the fermion algebra
Mathematical Physics
2020-11-20 v1 math.MP
Abstract
In this paper, we consider the groupoidification of the fermion algebra. We construct a groupoid as the categorical analogues of the fermionic Fock space, and the creation and annihilation operators correspond to spans of groupoids. The categorical fermionic Fock states have some extra structures comparing with the normal forms. We also construct a 2-category of spans of groupoids corresponding to the fermion algebra. The relations of the morphisms in this 2-category are consistent with those in the graphical category which is represented by string diagrams.
Keywords
Cite
@article{arxiv.1602.06039,
title = {A groupoidification of the fermion algebra},
author = {Wei Chen and Bing-Sheng Lin},
journal= {arXiv preprint arXiv:1602.06039},
year = {2020}
}
Comments
10 pages, tikz diagrams