Parafermion vertex operator algebras

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	Parafermion vertex operator algebras
	Dong, Chongying ; Wang, Qing ; Wang Q(王清)
刊名	http://dx.doi.org/10.1007/s11464-011-0138-5
	2011-08
关键词	AFFINE LIE-ALGEBRAS UNITARY REPRESENTATIONS MODULAR-INVARIANCE VIRASORO ALGEBRAS W-ALGEBRAS MOONSHINE
英文摘要	NSF; University of California at Santa Cruz; National Natural Science Foundation [10931006, 11001229]; Natural Science Foundation of Fujian Province, China [2009J05012]; Fundamental Research Funds for the Central University [2010121003]; This paper reviews some recent results on the parafermion vertex operator algebra associated to the integrable highest weight module L(k, 0) of positive integer level k for any affine Kac-Moody Lie algebra (g) over cap, where g is a finite dimensional simple Lie algebra. In particular, the generators and the C(2)-cofiniteness of the parafermion vertex operator algebras are discussed. A proof of the well-known fact that the parafermion vertex operator algebra can be realized as the commutant of a lattice vertex operator algebra in L(k, 0) is also given.
语种	英语
出版者	FRONT MATH CHINA
内容类型	期刊论文
源URL	[http://dspace.xmu.edu.cn/handle/2288/91080]
专题	数学科学－已发表论文
推荐引用方式 GB/T 7714	Dong, Chongying,Wang, Qing,Wang Q. Parafermion vertex operator algebras[J]. http://dx.doi.org/10.1007/s11464-011-0138-5,2011.
APA	Dong, Chongying,Wang, Qing,&王清.(2011).Parafermion vertex operator algebras.http://dx.doi.org/10.1007/s11464-011-0138-5.
MLA	Dong, Chongying,et al."Parafermion vertex operator algebras".http://dx.doi.org/10.1007/s11464-011-0138-5 (2011).