On gl(2 vertical bar 2)((2))(k) current superalkebra and twisted conformal field theory

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	On gl(2 vertical bar 2)((2))(k) current superalkebra and twisted conformal field theory
	Ding Xiang-Mao; Wang Gui-Dong ; Wang Shi-Kun
	2007
发表期刊	COMMUNICATIONS IN THEORETICAL PHYSICS
ISSN	0253-6102
卷号	47 期号:1 页码:69-77
摘要	Motivated by the recently discovered hidden symmetry of the type IIB Green-Schwarz superstring on certain background, the non-semisimple Kac-Moody twisted superalgebra gl(2/2)((2))(k) is investigated by means of the vector coherent state method and boson-fermion realization. The free field realization of the twisted current superalgebra at general level k is constructed. The corresponding Conformal Field Theory (CFT) has zero central charge. According to the classification theory, this CFT is a nonunitary field theory. After projecting out a U(1) factor and an outer automorphism operator, we get the free field representation of psl(2/2)((2))(k), which is the algebra of gl(2/2)((2))(k) modulo the Z(4)-outer automorphism, the CFT has central charge -2.
关键词	superalgebra differential operator realization free field realization conformal field theory
语种	英语
WOS研究方向	Physics
WOS类目	Physics, Multidisciplinary
WOS记录号	WOS:000243764900015
出版者	IOP PUBLISHING LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/5232
专题	应用数学研究所
通讯作者	Ding Xiang-Mao
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100080, Peoples R China 2.Chinese Acad Sci, Grad Sch, Beijing 100049, Peoples R China 3.Chinese Acad Sci, AMSS, KLMM, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Ding Xiang-Mao,Wang Gui-Dong,Wang Shi-Kun. On gl(2 vertical bar 2)((2))(k) current superalkebra and twisted conformal field theory[J]. COMMUNICATIONS IN THEORETICAL PHYSICS,2007,47(1):69-77.
APA	Ding Xiang-Mao,Wang Gui-Dong,&Wang Shi-Kun.(2007).On gl(2 vertical bar 2)((2))(k) current superalkebra and twisted conformal field theory.COMMUNICATIONS IN THEORETICAL PHYSICS,47(1),69-77.
MLA	Ding Xiang-Mao,et al."On gl(2 vertical bar 2)((2))(k) current superalkebra and twisted conformal field theory".COMMUNICATIONS IN THEORETICAL PHYSICS 47.1(2007):69-77.