On gl■k2Current Superalgebra and Twisted Conformal Field Theory

作     者：DING Xiang-Mao~1 WANG Gui-Dong~(1,2) WANG Shi-Kun~(1,3)1 Institute of Applied Mathematics,Academy of Mathematics and Systems Science,the Chinese Academy of Sciences,P.O.Box 2734,Beijing 100080,China2 Graduate School of the Chinese Academy of Scisences,Beijing 100049,China3 KLMM,AMSS,CAS,Beijing 100080,China 

出 版 物：《Communications in Theoretical Physics》 (理论物理(英文版))

年 卷 期：2007年第1期

页      面：69-77页

核心收录：

学科分类：07[理学] 070201[理学-理论物理] 0702[理学-物理学] 

基　　金：The project supported by National Key Basic Research Program of China under Grant No.2004CB31800,2006CB805905 National Natural Science Foundation of China under Grant Nos.10231050 and 10375087 

主　　题：superalgebra differential operator realization free field realization conformal field theory 

摘      要：Motivated by the recently discovered hidden symmetry of the type IIB Green-Schwarz superstring oncertain background,the non-semisimple Kac-Moody twisted superalgebra glis investigated by means of thevector coherent state method and boson-fermion *** free field realization of the twisted current superalgebraat general level k is *** corresponding Conformal Field Theory (CFT) has zero central *** the classification theory,this CFT is a nonunitary field theory. After projecting out a U(1) factor and an outerautomorphism operator,we get the free field representation of psl,which is the algebra of glmodulothe Z-outer automorphism,the CFT has central charge -2.