【摘 要】
：
Motivated by the recently discovered hidden symmetry of the type ∏B Green-Schwarz superstring on certain background, the non-semisimple Kac-Moody twisted super
【机 构】
：
Institute of Applied Mathematics,Graduate School of the Chinese Academy of Scisences,KLMM
【基金项目】
：
国家重点基础研究发展计划(973计划);国家自然科学基金
论文部分内容阅读
Motivated by the recently discovered hidden symmetry of the type ∏B 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 Z4-outer automorphism, the CFT has central charge -2.
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