Ghost systems: a vertex algebra point of view

被引:26
作者
Eholzer, W
Feher, L
Honecker, A
机构
[1] Univ Cambridge, Dept Appl Math & Theoret Phys, Cambridge CB3 9EW, England
[2] Attila Jozsef Univ, Dept Theoret Phys, H-6720 Szeged, Hungary
[3] SISSA, I-34014 Trieste, Italy
基金
匈牙利科学研究基金会; 英国工程与自然科学研究理事会;
关键词
conformal field theory; W algebras; twisted representations; invariant subalgebras;
D O I
10.1016/S0550-3213(98)00061-3
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
Fermionic and bosonic ghost systems are defined each in terms of a single vertex algebra which admits a one-parameter family of conformal structures. The observation that these structures are related to each other provides a simple way to obtain character formulae for a general twisted module of a ghost system. The U(1) symmetry and its subgroups that underlie the twisted modules also define an infinite set of invariant vertex subalgebras, Their structure is studied in detail from a W algebra point of view with particular emphasis on ZN-invariant subalgebras of the fermionic ghost system, (C) 1998 Elsevier Science B.V.
引用
收藏
页码:669 / 688
页数:20
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