A SUPERVERSION OF QUASI-FREE 2ND QUANTIZATION .1. CHARGED-PARTICLES

被引:23
作者
GROSSE, H [1 ]
LANGMANN, E [1 ]
机构
[1] GRAZ TECH UNIV,INST THEORET PHYS,A-8010 GRAZ,AUSTRIA
关键词
D O I
10.1063/1.529765
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
A formalism comprising and extending quasifree second quantization of charged bosons and fermions is presented. The second quantization of one-particle observables leads to current superalgebras, and a super-Schwinger term shows up. Anticommuting parameters are introduced in order to construct super-Bogoliubov transformations mixing bosons and fermions. As an application, representations of Lie superalgebras are given which are semidirect products of extensions of affine Kac-Moody algebras and the Virasoro algebra, and of the super-Virasoro algebra.
引用
收藏
页码:1032 / 1046
页数:15
相关论文
共 36 条
[2]   AUTOMORPHISMS OF THE CANONICAL ANTI-COMMUTATION RELATIONS AND INDEX THEORY [J].
CAREY, AL ;
HURST, CA ;
OBRIEN, DM .
JOURNAL OF FUNCTIONAL ANALYSIS, 1982, 48 (03) :360-393
[3]   ON FERMION GAUGE GROUPS, CURRENT-ALGEBRAS AND KAC-MOODY ALGEBRAS [J].
CAREY, AL ;
RUIJSENAARS, SNM .
ACTA APPLICANDAE MATHEMATICAE, 1987, 10 (01) :1-86
[4]   FERMION CURRENTS IN 1+1 DIMENSIONS [J].
CAREY, AL ;
HURST, CA ;
OBRIEN, DM .
JOURNAL OF MATHEMATICAL PHYSICS, 1983, 24 (08) :2212-2221
[5]   CONSERVATION-LAW VIOLATION AT HIGH-ENERGY BY ANOMALIES [J].
CHRIST, NH .
PHYSICAL REVIEW D, 1980, 21 (06) :1591-1602
[6]   V-STAR ALGEBRAS - A PARTICULAR CLASS OF UNBOUNDED OPERATOR-ALGEBRAS [J].
EPIFANIO, G ;
TRAPANI, C .
JOURNAL OF MATHEMATICAL PHYSICS, 1984, 25 (09) :2633-2637
[7]  
FALKENSTEINER P, 1986, J MATH PHYS, V28, P850
[9]  
Green M.B., 1987, SUPERSTRING THEORY, V1
[10]   A SUPERSYMMETRIC GENERALIZATION OF VONNEUMANN THEOREM [J].
GROSSE, H ;
PITTNER, L .
JOURNAL OF MATHEMATICAL PHYSICS, 1988, 29 (01) :110-118