Parafermion vertex operator algebras | |
Dong, Chongying ; Wang, Qing ; Wang Q(王清) | |
刊名 | http://dx.doi.org/10.1007/s11464-011-0138-5
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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). |
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