The Categorification of Fermions  

作　　者：王娜 王蕊 王志玺 吴可 杨洁 杨紫峰 

机构地区：[1]College of Mathematics and Information Sciences, Henan University [2]School of Mathematical Sciences, Capital Normal University [3]Beijing Center for Mathematics and Information Interdisciplinary Sciences [4]Department of Mathematics, Penn State University

出　　处：《Communications in Theoretical Physics》2015年第2期129-135,共7页理论物理通讯（英文版）

基　　金：Supported by National Nature Science Foundation of China under Grant Nos.11031005 and 11475116;Beijing Municipal Commission of Education under Grant Nos.KZ201210028032 and KZ201410028033

摘　　要：In this paper, we lift Fermions to functors acting on some homotopy category by the Boson–Fermion correspondence 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.

关 键 词：FERMIONS Boson-Fermion Correspondence Heisenberg algebra categorificaion 

分 类 号：O469[理学—凝聚态物理]