Branching laws for endomorphisms of fermions and the Cuntz algebra O2

被引：11

作者：

Abe, Mitsuo ^{[1
]}

Kawamura, Katsunori ^{[2
]}

机构：

[1] Kyoto Univ, Math Sci Res Inst, Kyoto 6068502, Japan

[2] Ritsumeikan Univ, Coll Sci & Engn, Shiga 5258577, Japan

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2008年 / 49卷 / 04期

关键词：

D O I：

10.1063/1.2839921

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Fermions are expressible in terms of polynomials in the canonical generators and their *-conjugates of the Cuntz algebra O-2. A canonical construction of such fermions is called a recursive fermion system. In this paper, various unital *-endomorphisms of the algebra of fermions are explicitly constructed by using the recursive fermion system. We investigate how such endomorphisms transform the Fock representation, the infinite wedge representation, and their duals. (c) 2008 American Institute of Physics.

引用

页数：10

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