The Categorification of Fermions

In this paper, we lift Fermions to functors acting on some homotopy category by the Boson-Fermion corre- spondence and get the categorified relations of Fermions. In this way, both the categorified Bosons and the categorified Fermions can be viewed as functors on the same category. We also give acti...

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Bibliographic Details
Published in:Communications in theoretical physics 2015-02, Vol.63 (2), p.129-135
Main Authors: Wang, Na, Wang, Rui, Wang, Zhi-Xi, Wu, Ke, Yang, Jie, Yang, Zi-Feng
Format: Article
Language:English
Subjects:
Bosons
Categories
Charging
Equivalence
Fermions
Lift
Theoretical physics
函数
同伦
图表
玻色子
等价
经典理论
费米子
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Summary:In this paper, we lift Fermions to functors acting on some homotopy category by the Boson-Fermion corre- spondence and get the categorified relations of Fermions. In this way, both the categorified Bosons and the categorified Fermions can be viewed as functors on the same category. We also give actions of these functors on the charged Young diagrams （or equivalently, Maya diagrams）, so that the ClassicaL theory of Boson-Fermion correspondence is very well recovered as a result of such a categorification.
ISSN:0253-6102
1572-9494
DOI:10.1088/0253-6102/63/2/02