Bosonic and Fermionic Realizations of The Affine Algebra sˆo2n
作者:
Fons Ten Kroode,
Johan Van De Leur,
期刊:
Communications in Algebra
(Taylor Available online 1992)
卷期:
Volume 20,
issue 11
页码: 3119-3162
ISSN:0092-7872
年代: 1992
DOI:10.1080/00927879208824509
出版商: Marcel Dekker, Inc.
关键词: affine algebr;fermionic fields;Heisenbeg algebra;kacmoody algebra;kac-peterson-lepowsky construction;vertex operator;virasoro algebra;weyl group;17B65;17B67;22E65
数据来源: Taylor
摘要:
We give an explicit description of the Kac-Peterson-Lepowsky constr tion of the basic representation for the affine Lie algebra sˆo2n(C). Using the conjugacy classes of the Weyl group of sˆo2n(C), we describe all equivalent maximal Heisenberg subalgebras (HSA's) of the correspond: affine Lie algebra. We associate to these HSA's multicomponent charged and neutral free fermionic fields. The boson-fermion correspondence these fields provides us with fermionic vertex operators, whose 'norr, ordered products' give the (twisted) vertex operators of the Kac-Peters( Lepowsky construction.
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